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200695264 = 25711471733
BaseRepresentation
bin10111111011001…
…01110111100000
3111222122101010221
423331211313200
5402334222024
631525332424
74654611250
oct1375456740
9458571127
10200695264
11a3318360
1257267114
133276b8c3
141c923960
15129453e4
hexbf65de0

200695264 has 96 divisors (see below), whose sum is σ = 503387136. Its totient is φ = 76485120.

The previous prime is 200695247. The next prime is 200695321. The reversal of 200695264 is 462596002.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 114942 + ... + 116674.

It is an arithmetic number, because the mean of its divisors is an integer number (5243616).

Almost surely, 2200695264 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 200695264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693568).

200695264 is an abundant number, since it is smaller than the sum of its proper divisors (302691872).

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

200695264 is a wasteful number, since it uses less digits than its factorization.

200695264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 200695264 is about 14166.6955921273. The cubic root of 200695264 is about 585.4804186636.

The spelling of 200695264 in words is "two hundred million, six hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 77 88 94 112 154 176 188 224 308 329 352 376 517 616 658 752 1034 1232 1316 1504 1733 2068 2464 2632 3466 3619 4136 5264 6932 7238 8272 10528 12131 13864 14476 16544 19063 24262 27728 28952 38126 48524 55456 57904 76252 81451 97048 115808 133441 152504 162902 194096 266882 305008 325804 388192 533764 570157 610016 651608 895961 1067528 1140314 1303216 1791922 2135056 2280628 2606432 3583844 4270112 4561256 6271727 7167688 9122512 12543454 14335376 18245024 25086908 28670752 50173816 100347632 200695264