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233235104 = 2517428741
BaseRepresentation
bin11011110011011…
…10001010100000
3121020212120102012
431321232022200
5434202010404
635051012052
75531315504
oct1571561240
9536776365
10233235104
1110a722a93
126613a028
133942294b
1422d94304
1515721a6e
hexde6e2a0

233235104 has 24 divisors (see below), whose sum is σ = 486193428. Its totient is φ = 109757440.

The previous prime is 233235061. The next prime is 233235133. The reversal of 233235104 is 401532332.

233235104 is digitally balanced in base 2, 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 194546704 + 38688400 = 13948^2 + 6220^2 .

It is a super-2 number, since 2×2332351042 = 108797227475781632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233235104.

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, 213827 + ... + 214914.

Almost surely, 2233235104 is an apocalyptic number.

It is an amenable number.

233235104 is an abundant number, since it is smaller than the sum of its proper divisors (252958324).

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

233235104 is a wasteful number, since it uses less digits than its factorization.

233235104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428768 (or 428760 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 233235104 is about 15272.0366683688. The cubic root of 233235104 is about 615.5518469736.

Adding to 233235104 its reverse (401532332), we get a palindrome (634767436).

The spelling of 233235104 in words is "two hundred thirty-three million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 428741 857482 1714964 3429928 6859856 7288597 13719712 14577194 29154388 58308776 116617552 233235104