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233352064 = 2711179749
BaseRepresentation
bin11011110100010…
…10101110000000
3121021002111212001
431322022232000
5434214231224
635053313344
75532313501
oct1572125600
9537074761
10233352064
1110a7a2950
1266195854
1339463c5a
1422dc4ba8
1515746544
hexde8ab80

233352064 has 64 divisors (see below), whose sum is σ = 537030000. Its totient is φ = 99819520.

The previous prime is 233352061. The next prime is 233352101. The reversal of 233352064 is 460253332.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233352061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19062 + ... + 28810.

Almost surely, 2233352064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268515000).

233352064 is an abundant number, since it is smaller than the sum of its proper divisors (303677936).

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

233352064 is a wasteful number, since it uses less digits than its factorization.

233352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 233352064 is about 15275.8654092002. The cubic root of 233352064 is about 615.6547230154.

The spelling of 233352064 in words is "two hundred thirty-three million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 9749 11968 19498 23936 38996 77992 107239 155984 165733 214478 311968 331466 428956 623936 662932 857912 1247872 1325864 1715824 1823063 2651728 3431648 3646126 5303456 6863296 7292252 10606912 13726592 14584504 21213824 29169008 58338016 116676032 233352064