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233264032 = 2510496949
BaseRepresentation
bin11011110011101…
…01001110100000
3121020221001002121
431321311032200
5434203422112
635051354024
75531466031
oct1571651640
9536831077
10233264032
1110a7427a1
1266152914
1339432b71
1422da0a88
151572a407
hexde753a0

233264032 has 24 divisors (see below), whose sum is σ = 459742500. Its totient is φ = 116504064.

The previous prime is 233263973. The next prime is 233264069. The reversal of 233264032 is 230462332.

It is a happy number.

233264032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189227536 + 44036496 = 13756^2 + 6636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233263988 and 233264006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30094 + ... + 37042.

Almost surely, 2233264032 is an apocalyptic number.

It is an amenable number.

233264032 is a deficient number, since it is larger than the sum of its proper divisors (226478468).

233264032 is a wasteful number, since it uses less digits than its factorization.

233264032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 233264032 is about 15272.9837294485. The cubic root of 233264032 is about 615.5772947548.

The spelling of 233264032 in words is "two hundred thirty-three million, two hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 1049 2098 4196 6949 8392 13898 16784 27796 33568 55592 111184 222368 7289501 14579002 29158004 58316008 116632016 233264032