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233157664 = 2519383483
BaseRepresentation
bin11011110010110…
…11010000100000
3121020201122012001
431321123100200
5434142021124
635045213344
75530543645
oct1571332040
9536648161
10233157664
1110a67a893
1266101254
13393c661c
1422d73dcc
1515708b44
hexde5b420

233157664 has 24 divisors (see below), whose sum is σ = 483189840. Its totient is φ = 110442816.

The previous prime is 233157643. The next prime is 233157719. The reversal of 233157664 is 466751332.

233157664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 191134 + ... + 192349.

It is an arithmetic number, because the mean of its divisors is an integer number (20132910).

Almost surely, 2233157664 is an apocalyptic number.

It is an amenable number.

233157664 is an abundant number, since it is smaller than the sum of its proper divisors (250032176).

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

233157664 is a wasteful number, since it uses less digits than its factorization.

233157664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383512 (or 383504 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 233157664 is about 15269.5011051442. The cubic root of 233157664 is about 615.4837131308.

It can be divided in two parts, 2331 and 57664, that added together give a palindrome (59995).

The spelling of 233157664 in words is "two hundred thirty-three million, one hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 383483 766966 1533932 3067864 6135728 7286177 12271456 14572354 29144708 58289416 116578832 233157664