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33230320956 = 223574883939
BaseRepresentation
bin11110111100101011…
…100111010100111100
310011202212201012200000
4132330223213110330
51021023430232311
623133225034300
72254323032130
oct367453472474
9104685635600
1033230320956
1113102716a78
126534925990
1331976bba11
1418734873c0
15ce7516056
hex7bcae753c

33230320956 has 72 divisors (see below), whose sum is σ = 99554232960. Its totient is φ = 9494375472.

The previous prime is 33230320951. The next prime is 33230320957. The reversal of 33230320956 is 65902303233.

33230320956 is a `hidden beast` number, since 3 + 323 + 0 + 320 + 9 + 5 + 6 = 666.

It is a super-2 number, since 2×332303209562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33230320956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33230320951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2435166 + ... + 2448773.

It is an arithmetic number, because the mean of its divisors is an integer number (1382697680).

Almost surely, 233230320956 is an apocalyptic number.

33230320956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33230320956 is an abundant number, since it is smaller than the sum of its proper divisors (66323912004).

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

33230320956 is a wasteful number, since it uses less digits than its factorization.

33230320956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883965 (or 4883951 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The spelling of 33230320956 in words is "thirty-three billion, two hundred thirty million, three hundred twenty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 4883939 9767878 14651817 19535756 29303634 34187573 43955451 58607268 68375146 87910902 102562719 131866353 136750292 175821804 205125438 263732706 307688157 395599059 410250876 527465412 615376314 791198118 923064471 1186797177 1230752628 1582396236 1846128942 2373594354 2769193413 3692257884 4747188708 5538386826 8307580239 11076773652 16615160478 33230320956