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233212104 = 23325216217
BaseRepresentation
bin11011110011010…
…00100011001000
3121020211101212100
431321220203020
5434200241404
635050313400
75531161446
oct1571504310
9536741770
10233212104
1110a707784
1266128860
1339415338
1422d89b96
1515719d39
hexde688c8

233212104 has 48 divisors (see below), whose sum is σ = 632930220. Its totient is φ = 77575680.

The previous prime is 233212081. The next prime is 233212121. The reversal of 233212104 is 401212332.

It can be written as a sum of positive squares in 2 ways, for example, as 233172900 + 39204 = 15270^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 34404 + ... + 40620.

Almost surely, 2233212104 is an apocalyptic number.

233212104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233212104 is an abundant number, since it is smaller than the sum of its proper divisors (399718116).

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

233212104 is a wasteful number, since it uses less digits than its factorization.

233212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233212104 is about 15271.2836395635. The cubic root of 233212104 is about 615.5316125154.

Adding to 233212104 its reverse (401212332), we get a palindrome (634424436).

It can be divided in two parts, 23321 and 2104, that added together give a triangular number (25425 = T225).

The spelling of 233212104 in words is "two hundred thirty-three million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 521 1042 1563 2084 3126 4168 4689 6217 6252 9378 12434 12504 18651 18756 24868 37302 37512 49736 55953 74604 111906 149208 223812 447624 3239057 6478114 9717171 12956228 19434342 25912456 29151513 38868684 58303026 77737368 116606052 233212104