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200151264 = 2533176577
BaseRepresentation
bin10111110111000…
…01000011100000
3111221121201220210
423323201003200
5402214320024
631505534120
74650154245
oct1373410340
9457551823
10200151264
11a2a86675
1257044340
133260b101
141c8215cc
1512889129
hexbee10e0

200151264 has 48 divisors (see below), whose sum is σ = 527134608. Its totient is φ = 66496512.

The previous prime is 200151257. The next prime is 200151269. The reversal of 200151264 is 462151002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 200151264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200151269) 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, 27144 + ... + 33720.

It is an arithmetic number, because the mean of its divisors is an integer number (10981971).

Almost surely, 2200151264 is an apocalyptic number.

200151264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200151264 is an abundant number, since it is smaller than the sum of its proper divisors (326983344).

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

200151264 is a wasteful number, since it uses less digits than its factorization.

200151264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 200151264 is about 14147.4826029227. The cubic root of 200151264 is about 584.9509433624.

The spelling of 200151264 in words is "two hundred million, one hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 317 634 951 1268 1902 2536 3804 5072 6577 7608 10144 13154 15216 19731 26308 30432 39462 52616 78924 105232 157848 210464 315696 631392 2084909 4169818 6254727 8339636 12509454 16679272 25018908 33358544 50037816 66717088 100075632 200151264