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232075680 = 2535483491
BaseRepresentation
bin11011101010100…
…11000110100000
3121011200122222120
431311103012200
5433402410210
635010104240
75515416324
oct1565230640
9534618876
10232075680
1110a000991
126587b080
1339107cb5
1422b71984
1515593270
hexdd531a0

232075680 has 48 divisors (see below), whose sum is σ = 731039904. Its totient is φ = 61886720.

The previous prime is 232075667. The next prime is 232075717. The reversal of 232075680 is 86570232.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241266 + ... + 242225.

It is an arithmetic number, because the mean of its divisors is an integer number (15229998).

Almost surely, 2232075680 is an apocalyptic number.

232075680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232075680 is an abundant number, since it is smaller than the sum of its proper divisors (498964224).

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

232075680 is a wasteful number, since it uses less digits than its factorization.

232075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483509 (or 483501 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 232075680 is about 15234.0303268702. The cubic root of 232075680 is about 614.5301719359.

It can be divided in two parts, 23 and 2075680, that added together give a triangular number (2075703 = T2037).

The spelling of 232075680 in words is "two hundred thirty-two million, seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 483491 966982 1450473 1933964 2417455 2900946 3867928 4834910 5801892 7252365 7735856 9669820 11603784 14504730 15471712 19339640 23207568 29009460 38679280 46415136 58018920 77358560 116037840 232075680