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232155440 = 24511229827
BaseRepresentation
bin11011101011001…
…10100100110000
3121011211201101122
431311212210300
5433412433230
635011521412
75516201006
oct1565464460
9534751348
10232155440
1110a055900
12658b9268
13391353aa
1422b92a76
15155abbe5
hexdd66930

232155440 has 120 divisors (see below), whose sum is σ = 614491920. Its totient is φ = 81410560.

The previous prime is 232155431. The next prime is 232155461. The reversal of 232155440 is 44551232.

It is a happy number.

232155440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321554402 = 107792296643187200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280307 + ... + 281133.

It is an arithmetic number, because the mean of its divisors is an integer number (5120766).

Almost surely, 2232155440 is an apocalyptic number.

232155440 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 232155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307245960).

232155440 is an abundant number, since it is smaller than the sum of its proper divisors (382336480).

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

232155440 is a wasteful number, since it uses less digits than its factorization.

232155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 232155440 is about 15236.6479253148. The cubic root of 232155440 is about 614.6005646521.

The spelling of 232155440 in words is "two hundred thirty-two million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 121 145 176 220 232 242 290 319 440 464 484 580 605 638 827 880 968 1160 1210 1276 1595 1654 1936 2320 2420 2552 3190 3308 3509 4135 4840 5104 6380 6616 7018 8270 9097 9680 12760 13232 14036 16540 17545 18194 23983 25520 28072 33080 35090 36388 45485 47966 56144 66160 70180 72776 90970 95932 100067 119915 140360 145552 181940 191864 200134 239830 263813 280720 363880 383728 400268 479660 500335 527626 727760 800536 959320 1000670 1055252 1319065 1601072 1918640 2001340 2110504 2638130 2901943 4002680 4221008 5276260 5803886 8005360 10552520 11607772 14509715 21105040 23215544 29019430 46431088 58038860 116077720 232155440