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230721646032 = 24321984328087
BaseRepresentation
bin1101011011100000010…
…1001110110111010000
3211001112101111000010100
43112320011032313100
512240004220133112
6253554141332400
722445332430103
oct3267005166720
9731471430110
10230721646032
1189937399609
1238870267100
13189ac062057
14b24a2da73a
1560055e92dc
hex35b814edd0

230721646032 has 60 divisors (see below), whose sum is σ = 679684389280. Its totient is φ = 72859466304.

The previous prime is 230721645991. The next prime is 230721646037. The reversal of 230721646032 is 230646127032.

230721646032 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 2 + 1 + 646 + 0 + 3 + 2 = 666.

230721646032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230721646037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42161308 + ... + 42166779.

Almost surely, 2230721646032 is an apocalyptic number.

It is an amenable number.

230721646032 is an abundant number, since it is smaller than the sum of its proper divisors (448962743248).

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

230721646032 is a wasteful number, since it uses less digits than its factorization.

230721646032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84328120 (or 84328111 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 230721646032 in words is "two hundred thirty billion, seven hundred twenty-one million, six hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 84328087 168656174 252984261 337312348 505968522 674624696 758952783 1011937044 1349249392 1517905566 1602233653 2023874088 3035811132 3204467306 4047748176 4806700959 6071622264 6408934612 9613401918 12143244528 12817869224 14420102877 19226803836 25635738448 28840205754 38453607672 57680411508 76907215344 115360823016 230721646032