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200365242 = 23711676473
BaseRepresentation
bin10111111000101…
…01010010111010
3111222000121102220
423330111102322
5402243141432
631514304510
74652035140
oct1374252272
9458017386
10200365242
11a3112410
1257128136
133268461c
141c879590
15128cc72c
hexbf154ba

200365242 has 64 divisors (see below), whose sum is σ = 507147264. Its totient is φ = 51258240.

The previous prime is 200365229. The next prime is 200365289. The reversal of 200365242 is 242563002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27718 + ... + 34190.

It is an arithmetic number, because the mean of its divisors is an integer number (7924176).

Almost surely, 2200365242 is an apocalyptic number.

200365242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200365242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253573632).

200365242 is an abundant number, since it is smaller than the sum of its proper divisors (306782022).

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

200365242 is a wasteful number, since it uses less digits than its factorization.

200365242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 200365242 is about 14155.0429882781. The cubic root of 200365242 is about 585.1593225194.

The spelling of 200365242 in words is "two hundred million, three hundred sixty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 402 462 469 737 938 1407 1474 2211 2814 4422 5159 6473 10318 12946 15477 19419 30954 38838 45311 71203 90622 135933 142406 213609 271866 427218 433691 498421 867382 996842 1301073 1495263 2602146 2990526 3035837 4770601 6071674 9107511 9541202 14311803 18215022 28623606 33394207 66788414 100182621 200365242