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232464232 = 237211213229
BaseRepresentation
bin11011101101100…
…01111101101000
3121012102101222101
431312301331220
5434002323412
635022303144
75521625200
oct1566617550
9535371871
10232464232
1110a246900
1265a27ab4
1339212b00
1422c33400
151561d457
hexddb1f68

232464232 has 216 divisors, whose sum is σ = 624295350. Its totient is φ = 80720640.

The previous prime is 232464223. The next prime is 232464233.

232464232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 119552356 + 112911876 = 10934^2 + 10626^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232464232.

It is not an unprimeable number, because it can be changed into a prime (232464233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8015994 + ... + 8016022.

Almost surely, 2232464232 is an apocalyptic number.

232464232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232464232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312147675).

232464232 is an abundant number, since it is smaller than the sum of its proper divisors (391831118).

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

232464232 is a wasteful number, since it uses less digits than its factorization.

232464232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 232464232 is about 15246.7777579395. Note that the first 4 decimals coincide. The cubic root of 232464232 is about 614.8729391372.

It can be divided in two parts, 232 and 464232, that added together give a palindrome (464464).

The spelling of 232464232 in words is "two hundred thirty-two million, four hundred sixty-four thousand, two hundred thirty-two".