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64233 = 341361
BaseRepresentation
bin1111101011101001
310021010000
433223221
54023413
61213213
7355161
oct175351
9107100
1064233
1144294
1231209
1323310
14195a1
1514073
hexfae9

64233 has 20 divisors (see below), whose sum is σ = 105028. Its totient is φ = 38880.

The previous prime is 64231. The next prime is 64237. The reversal of 64233 is 33246.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 59049 = 72^2 + 243^2 .

It is not a de Polignac number, because 64233 - 21 = 64231 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1023 + ... + 1083.

264233 is an apocalyptic number.

It is an amenable number.

64233 is a deficient number, since it is larger than the sum of its proper divisors (40795).

64233 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (64232) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (77).

64233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 64233 is about 253.4423011259. The cubic root of 64233 is about 40.0484828782.

Adding to 64233 its reverse (33246), we get a palindrome (97479).

The spelling of 64233 in words is "sixty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 61 81 117 183 351 549 793 1053 1647 2379 4941 7137 21411 64233