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231066432 = 263429253
BaseRepresentation
bin11011100010111…
…00101101000000
3121002210101120000
431301130231000
5433123111212
634532320000
75504014032
oct1561345500
9532711500
10231066432
111094816a3
1265473000
1338b437cc
142298bc52
15154441dc
hexdc5cb40

231066432 has 210 divisors, whose sum is σ = 722771478. Its totient is φ = 72963072.

The previous prime is 231066383. The next prime is 231066449. The reversal of 231066432 is 234660132.

231066432 is a `hidden beast` number, since 2 + 3 + 10 + 6 + 643 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 59351616 + 171714816 = 7704^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231066396 and 231066405.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 4359718 + ... + 4359770.

Almost surely, 2231066432 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 231066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361385739).

231066432 is an abundant number, since it is smaller than the sum of its proper divisors (491705046).

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

231066432 is an equidigital number, since it uses as much as digits as its factorization.

231066432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 231066432 is about 15200.8694488177. The cubic root of 231066432 is about 613.6380569381.

The spelling of 231066432 in words is "two hundred thirty-one million, sixty-six thousand, four hundred thirty-two".