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230120220 = 2235112291093
BaseRepresentation
bin11011011011101…
…01101100011100
3121001000022121010
431231311230130
5432402321340
634500135220
75462663301
oct1555655434
9531008533
10230120220
11108995800
1265097510
13388a1c15
14227c30a8
1515308b80
hexdb75b1c

230120220 has 144 divisors (see below), whose sum is σ = 733330080. Its totient is φ = 53813760.

The previous prime is 230120213. The next prime is 230120273. The reversal of 230120220 is 22021032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230120196 and 230120205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209994 + ... + 211086.

It is an arithmetic number, because the mean of its divisors is an integer number (5092570).

Almost surely, 2230120220 is an apocalyptic number.

230120220 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 230120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366665040).

230120220 is an abundant number, since it is smaller than the sum of its proper divisors (503209860).

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

230120220 is a wasteful number, since it uses less digits than its factorization.

230120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230120220 is about 15169.7139063332. The cubic root of 230120220 is about 612.7992995093.

Adding to 230120220 its reverse (22021032), we get a palindrome (252141252).

The spelling of 230120220 in words is "two hundred thirty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 121 132 145 165 174 220 242 290 319 330 348 363 435 484 580 605 638 660 726 870 957 1093 1210 1276 1452 1595 1740 1815 1914 2186 2420 3190 3279 3509 3630 3828 4372 4785 5465 6380 6558 7018 7260 9570 10527 10930 12023 13116 14036 16395 17545 19140 21054 21860 24046 31697 32790 35090 36069 42108 48092 52635 60115 63394 65580 70180 72138 95091 105270 120230 126788 132253 144276 158485 180345 190182 210540 240460 264506 316970 348667 360690 380364 396759 475455 529012 633940 661265 697334 721380 793518 950910 1046001 1322530 1394668 1587036 1743335 1901820 1983795 2092002 2645060 3486670 3835337 3967590 4184004 5230005 6973340 7670674 7935180 10460010 11506011 15341348 19176685 20920020 23012022 38353370 46024044 57530055 76706740 115060110 230120220