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200902064 = 241147149163
BaseRepresentation
bin10111111100110…
…00010110110000
3112000000212211012
423332120112300
5402412331224
631534010052
74656432206
oct1376302660
9460025735
10200902064
11a3449770
1257346928
1332811a7c
141c979076
151298680e
hexbf985b0

200902064 has 80 divisors (see below), whose sum is σ = 439257600. Its totient is φ = 88231680.

The previous prime is 200902057. The next prime is 200902069. The reversal of 200902064 is 460209002.

It is not an unprimeable number, because it can be changed into a prime (200902069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232447 + ... + 1232609.

It is an arithmetic number, because the mean of its divisors is an integer number (5490720).

Almost surely, 2200902064 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 200902064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219628800).

200902064 is an abundant number, since it is smaller than the sum of its proper divisors (238355536).

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

200902064 is a wasteful number, since it uses less digits than its factorization.

200902064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 200902064 is about 14173.9925215163. The cubic root of 200902064 is about 585.6814461404.

The spelling of 200902064 in words is "two hundred million, nine hundred two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 149 163 176 188 298 326 376 517 596 652 752 1034 1192 1304 1639 1793 2068 2384 2608 3278 3586 4136 6556 7003 7172 7661 8272 13112 14006 14344 15322 24287 26224 28012 28688 30644 48574 56024 61288 77033 84271 97148 112048 122576 154066 168542 194296 267157 308132 337084 388592 534314 616264 674168 1068628 1141489 1232528 1348336 2137256 2282978 4274512 4565956 9131912 12556379 18263824 25112758 50225516 100451032 200902064