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200891328 = 26311731303
BaseRepresentation
bin10111111100101…
…01101111000000
3112000000100002120
423332111233000
5402412010303
631533444240
74656356001
oct1376255700
9460010076
10200891328
11a34416a0
1257340680
1332809c11
141c9751a8
1512983553
hexbf95bc0

200891328 has 112 divisors (see below), whose sum is σ = 588239616. Its totient is φ = 59996160.

The previous prime is 200891297. The next prime is 200891347. The reversal of 200891328 is 823198002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153525 + ... + 154827.

Almost surely, 2200891328 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 200891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294119808).

200891328 is an abundant number, since it is smaller than the sum of its proper divisors (387348288).

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

200891328 is a wasteful number, since it uses less digits than its factorization.

200891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 200891328 is about 14173.6137946538. The cubic root of 200891328 is about 585.6710132162.

The spelling of 200891328 in words is "two hundred million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 132 146 176 192 219 264 292 352 438 528 584 704 803 876 1056 1168 1303 1606 1752 2112 2336 2409 2606 3212 3504 3909 4672 4818 5212 6424 7008 7818 9636 10424 12848 14016 14333 15636 19272 20848 25696 28666 31272 38544 41696 42999 51392 57332 62544 77088 83392 85998 95119 114664 125088 154176 171996 190238 229328 250176 285357 343992 380476 458656 570714 687984 760952 917312 1046309 1141428 1375968 1521904 2092618 2282856 2751936 3043808 3138927 4185236 4565712 6087616 6277854 8370472 9131424 12555708 16740944 18262848 25111416 33481888 50222832 66963776 100445664 200891328