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233268057 = 32113796217
BaseRepresentation
bin11011110011101…
…10001101011001
3121020221020121200
431321312031121
5434204034212
635051424413
75531513541
oct1571661531
9536836550
10233268057
1110a745820
1266155109
1339434949
1422da2321
151572b6dc
hexde76359

233268057 has 24 divisors (see below), whose sum is σ = 368603040. Its totient is φ = 140978880.

The previous prime is 233268031. The next prime is 233268059. The reversal of 233268057 is 750862332.

It is not a de Polignac number, because 233268057 - 219 = 232743769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233268059) 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 23 ways as a sum of consecutive naturals, for example, 34413 + ... + 40629.

It is an arithmetic number, because the mean of its divisors is an integer number (15358460).

Almost surely, 2233268057 is an apocalyptic number.

It is an amenable number.

233268057 is a deficient number, since it is larger than the sum of its proper divisors (135334983).

233268057 is a wasteful number, since it uses less digits than its factorization.

233268057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 233268057 is about 15273.1154975008. The cubic root of 233268057 is about 615.5808353554.

The spelling of 233268057 in words is "two hundred thirty-three million, two hundred sixty-eight thousand, fifty-seven".

Divisors: 1 3 9 11 33 99 379 1137 3411 4169 6217 12507 18651 37521 55953 68387 205161 615483 2356243 7068729 21206187 25918673 77756019 233268057