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200150112 = 25317294229
BaseRepresentation
bin10111110111000…
…00110001100000
3111221121200100010
423323200301200
5402214300422
631505524520
74650151011
oct1373406140
9457550303
10200150112
11a2a85818
1257043740
133260a726
141c821008
1512888b0c
hexbee0c60

200150112 has 96 divisors (see below), whose sum is σ = 575618400. Its totient is φ = 60612608.

The previous prime is 200150107. The next prime is 200150143. The reversal of 200150112 is 211051002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2001501122 = 80120134667225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45214 + ... + 49442.

It is an arithmetic number, because the mean of its divisors is an integer number (5996025).

Almost surely, 2200150112 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 200150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287809200).

200150112 is an abundant number, since it is smaller than the sum of its proper divisors (375468288).

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

200150112 is a wasteful number, since it uses less digits than its factorization.

200150112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 200150112 is about 14147.4418889070. The cubic root of 200150112 is about 584.9498211032.

The spelling of 200150112 in words is "two hundred million, one hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1972 2784 2958 3944 4229 5916 7888 8458 11832 12687 15776 16916 23664 25374 33832 47328 50748 67664 71893 101496 122641 135328 143786 202992 215679 245282 287572 367923 405984 431358 490564 575144 735846 862716 981128 1150288 1471692 1725432 1962256 2084897 2300576 2943384 3450864 3924512 4169794 5886768 6254691 6901728 8339588 11773536 12509382 16679176 25018764 33358352 50037528 66716704 100075056 200150112