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232468008 = 233311671871
BaseRepresentation
bin11011101101100…
…10111000101000
3121012102121011020
431312302320220
5434002434013
635022332440
75521642203
oct1566627050
9535377136
10232468008
1110a249723
1265a2a120
1339214746
1422c3493a
151561e623
hexddb2e28

232468008 has 64 divisors (see below), whose sum is σ = 603832320. Its totient is φ = 74500800.

The previous prime is 232467971. The next prime is 232468037. The reversal of 232468008 is 800864232.

It is a self number, because there is not a number n which added to its sum of digits gives 232468008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123313 + ... + 125183.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2232468008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232468008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301916160).

232468008 is an abundant number, since it is smaller than the sum of its proper divisors (371364312).

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

232468008 is a wasteful number, since it uses less digits than its factorization.

232468008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 232468008 is about 15246.9015868799. The cubic root of 232468008 is about 614.8762683198.

The spelling of 232468008 in words is "two hundred thirty-two million, four hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 167 186 248 334 372 501 668 744 1002 1336 1871 2004 3742 4008 5177 5613 7484 10354 11226 14968 15531 20708 22452 31062 41416 44904 58001 62124 116002 124248 174003 232004 312457 348006 464008 624914 696012 937371 1249828 1392024 1874742 2499656 3749484 7498968 9686167 19372334 29058501 38744668 58117002 77489336 116234004 232468008