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230243042223120 = 24354017193327377
BaseRepresentation
bin110100010110011110100010…
…101111100110010000010000
31010012020000112111010222121210
4310112132202233212100100
5220134300222302114440
62133404105435020120
766332340136562013
oct6426364257462020
91105200474128553
10230243042223120
11673a9586a02923
12219a6788b9a640
139b61a97148774
1440bdb736d737a
151b9423ae08a80
hexd167a2be6410

230243042223120 has 160 divisors (see below), whose sum is σ = 716528758510080. Its totient is φ = 61159832780800.

The previous prime is 230243042223119. The next prime is 230243042223127. The reversal of 230243042223120 is 21322240342032.

It is a super-2 number, since 2×2302430422231202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (230243042223127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67532872 + ... + 70860248.

It is an arithmetic number, because the mean of its divisors is an integer number (4478304740688).

Almost surely, 2230243042223120 is an apocalyptic number.

230243042223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230243042223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358264379255040).

230243042223120 is an abundant number, since it is smaller than the sum of its proper divisors (486285716286960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230243042223120 is a wasteful number, since it uses less digits than its factorization.

230243042223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328513 (or 3328507 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 230243042223120 its reverse (21322240342032), we get a palindrome (251565282565152).

The spelling of 230243042223120 in words is "two hundred thirty trillion, two hundred forty-three billion, forty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 719 802 1203 1438 1604 2005 2157 2406 2876 3208 3595 4010 4314 4812 5752 6015 6416 7190 8020 8628 9624 10785 11504 12030 14380 16040 17256 19248 21570 24060 28760 32080 34512 43140 48120 57520 86280 96240 172560 288319 576638 864957 1153276 1441595 1729914 2306552 2883190 3327377 3459828 4324785 4613104 5766380 6654754 6919656 8649570 9982131 11532760 13309508 13839312 16636885 17299140 19964262 23065520 26619016 33273770 34598280 39928524 49910655 53238032 66547540 69196560 79857048 99821310 133095080 159714096 199642620 266190160 399285240 798570480 1334278177 2392384063 2668556354 4002834531 4784768126 5337112708 6671390885 7177152189 8005669062 9569536252 10674225416 11961920315 13342781770 14354304378 16011338124 19139072504 20014172655 21348450832 23923840630 26685563540 28708608756 32022676248 35885760945 38278145008 40028345310 47847681260 53371127080 57417217512 64045352496 71771521890 80056690620 95695362520 106742254160 114834435024 143543043780 160113381240 191390725040 287086087560 320226762480 574172175120 959346009263 1918692018526 2878038027789 3837384037052 4796730046315 5756076055578 7674768074104 9593460092630 11512152111156 14390190138945 15349536148208 19186920185260 23024304222312 28780380277890 38373840370520 46048608444624 57560760555780 76747680741040 115121521111560 230243042223120