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2323220223120 = 2435371311997129
BaseRepresentation
bin100001110011101010101…
…101110101010010010000
322020002122012201102121220
4201303222231311102100
5301030423334114440
64535134520045040
7326563364033046
oct41635255652220
98202565642556
102323220223120
118162aa282425
12316309903780
1313b103c6a274
1480631848396
1540673e9c8d0
hex21ceab75490

2323220223120 has 160 divisors (see below), whose sum is σ = 7453097435520. Its totient is φ = 598179778560.

The previous prime is 2323220223097. The next prime is 2323220223161. The reversal of 2323220223120 is 213220223232.

It is a super-2 number, since 2×23232202231202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164716 + ... + 2161844.

It is an arithmetic number, because the mean of its divisors is an integer number (46581858972).

Almost surely, 22323220223120 is an apocalyptic number.

2323220223120 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 2323220223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726548717760).

2323220223120 is an abundant number, since it is smaller than the sum of its proper divisors (5129877212400).

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

2323220223120 is a wasteful number, since it uses less digits than its factorization.

2323220223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997313 (or 1997307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2323220223120 its reverse (213220223232), we get a palindrome (2536440446352).

The spelling of 2323220223120 in words is "two trillion, three hundred twenty-three billion, two hundred twenty million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 131 148 185 222 240 262 296 370 393 444 524 555 592 655 740 786 888 1048 1110 1310 1480 1572 1776 1965 2096 2220 2620 2960 3144 3930 4440 4847 5240 6288 7860 8880 9694 10480 14541 15720 19388 24235 29082 31440 38776 48470 58164 72705 77552 96940 116328 145410 193880 232656 290820 387760 581640 1163280 1997129 3994258 5991387 7988516 9985645 11982774 15977032 19971290 23965548 29956935 31954064 39942580 47931096 59913870 73893773 79885160 95862192 119827740 147787546 159770320 221681319 239655480 261623899 295575092 369468865 443362638 479310960 523247798 591150184 738937730 784871697 886725276 1046495596 1108406595 1182300368 1308119495 1477875460 1569743394 1773450552 2092991192 2216813190 2616238990 2955750920 3139486788 3546901104 3924358485 4185982384 4433626380 5232477980 5911501840 6278973576 7848716970 8867252760 9680084263 10464955960 12557947152 15697433940 17734505520 19360168526 20929911920 29040252789 31394867880 38720337052 48400421315 58080505578 62789735760 77440674104 96800842630 116161011156 145201263945 154881348208 193601685260 232322022312 290402527890 387203370520 464644044624 580805055780 774406741040 1161610111560 2323220223120