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233272052 = 22132615657
BaseRepresentation
bin11011110011101…
…11001011110100
3121020221110002122
431321313023310
5434204201202
635051455112
75531531306
oct1571671364
9536843078
10233272052
1110a748822
1266157498
1339436700
1422da3976
151572c9a2
hexde772f4

233272052 has 36 divisors (see below), whose sum is σ = 449369676. Its totient is φ = 105880320.

The previous prime is 233272051. The next prime is 233272057. The reversal of 233272052 is 250272332.

It can be written as a sum of positive squares in 6 ways, for example, as 148742416 + 84529636 = 12196^2 + 9194^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233272051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38408 + ... + 44064.

It is an arithmetic number, because the mean of its divisors is an integer number (12482491).

Almost surely, 2233272052 is an apocalyptic number.

It is an amenable number.

233272052 is a deficient number, since it is larger than the sum of its proper divisors (216097624).

233272052 is a wasteful number, since it uses less digits than its factorization.

233272052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 233272052 is about 15273.2462823068. The cubic root of 233272052 is about 615.5843495263.

The spelling of 233272052 in words is "two hundred thirty-three million, two hundred seventy-two thousand, fifty-two".

Divisors: 1 2 4 13 26 52 61 122 169 244 338 676 793 1586 3172 5657 10309 11314 20618 22628 41236 73541 147082 294164 345077 690154 956033 1380308 1912066 3824132 4486001 8972002 17944004 58318013 116636026 233272052