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232155540320 = 25511941140177
BaseRepresentation
bin1101100000110110001…
…1000110101101100000
3211012020022121101022012
43120031203012231200
512300423304242240
6254352322532052
722526013350654
oct3301543065540
9735208541265
10232155540320
118a502828610
1238bb0507028
1318b7a14a202
14b344912a64
15608b436b65
hex360d8c6b60

232155540320 has 96 divisors (see below), whose sum is σ = 598968258336. Its totient is φ = 84329881600.

The previous prime is 232155540283. The next prime is 232155540359. The reversal of 232155540320 is 23045551232.

It is a super-2 number, since 2×2321555403202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 1586072 + ... + 1726248.

It is an arithmetic number, because the mean of its divisors is an integer number (6239252691).

Almost surely, 2232155540320 is an apocalyptic number.

232155540320 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 232155540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299484129168).

232155540320 is an abundant number, since it is smaller than the sum of its proper divisors (366812718016).

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

232155540320 is a wasteful number, since it uses less digits than its factorization.

232155540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141144 (or 141136 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 232155540320 in words is "two hundred thirty-two billion, one hundred fifty-five million, five hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 941 1760 1882 3764 4705 7528 9410 10351 15056 18820 20702 30112 37640 41404 51755 75280 82808 103510 140177 150560 165616 207020 280354 331232 414040 560708 700885 828080 1121416 1401770 1541947 1656160 2242832 2803540 3083894 4485664 5607080 6167788 7709735 11214160 12335576 15419470 22428320 24671152 30838940 49342304 61677880 123355760 131906557 246711520 263813114 527626228 659532785 1055252456 1319065570 1450972127 2110504912 2638131140 2901944254 4221009824 5276262280 5803888508 7254860635 10552524560 11607777016 14509721270 21105049120 23215554032 29019442540 46431108064 58038885080 116077770160 232155540320