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233027064 = 23332937201
BaseRepresentation
bin11011110001110…
…11010111111000
3121020111000001000
431320323113320
5434123331224
635042325000
75526461124
oct1570732770
9536430030
10233027064
1110a5a0756
1266059760
133937c04a
1422d3c584
15156d00c9
hexde3b5f8

233027064 has 64 divisors (see below), whose sum is σ = 669636000. Its totient is φ = 74995200.

The previous prime is 233027057. The next prime is 233027071. The reversal of 233027064 is 460720332.

233027064 is a `hidden beast` number, since 2 + 330 + 270 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (233027057) and next prime (233027071).

It is a super-2 number, since 2×2330270642 = 108603225112920192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12337 + ... + 24864.

Almost surely, 2233027064 is an apocalyptic number.

233027064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233027064 is an abundant number, since it is smaller than the sum of its proper divisors (436608936).

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

233027064 is a wasteful number, since it uses less digits than its factorization.

233027064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37245 (or 37235 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 233027064 is about 15265.2240075277. The cubic root of 233027064 is about 615.3687734736.

Adding to 233027064 its reverse (460720332), we get a palindrome (693747396).

The spelling of 233027064 in words is "two hundred thirty-three million, twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 37201 74402 111603 148804 223206 297608 334809 446412 669618 892824 1004427 1078829 1339236 2008854 2157658 2678472 3236487 4017708 4315316 6472974 8035416 8630632 9709461 12945948 19418922 25891896 29128383 38837844 58256766 77675688 116513532 233027064