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200561328 = 243211532389
BaseRepresentation
bin10111111010001…
…01001010110000
3111222101120102100
423331011022300
5402320430303
631522420400
74653512622
oct1375051260
9458346370
10200561328
11a3236770
1257201700
1332722956
141c8cac12
151291a8a3
hexbf452b0

200561328 has 120 divisors (see below), whose sum is σ = 624134160. Its totient is φ = 59604480.

The previous prime is 200561239. The next prime is 200561341. The reversal of 200561328 is 823165002.

200561328 is a `hidden beast` number, since 20 + 0 + 5 + 613 + 28 = 666.

200561328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82758 + ... + 85146.

It is an arithmetic number, because the mean of its divisors is an integer number (5201118).

Almost surely, 2200561328 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 200561328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312067080).

200561328 is an abundant number, since it is smaller than the sum of its proper divisors (423572832).

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

200561328 is a wasteful number, since it uses less digits than its factorization.

200561328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 200561328 is about 14161.9676598981. The cubic root of 200561328 is about 585.3501476009.

The spelling of 200561328 in words is "two hundred million, five hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 264 318 396 424 477 528 583 636 792 848 954 1166 1272 1584 1749 1908 2332 2389 2544 3498 3816 4664 4778 5247 6996 7167 7632 9328 9556 10494 13992 14334 19112 20988 21501 26279 27984 28668 38224 41976 43002 52558 57336 78837 83952 86004 105116 114672 126617 157674 172008 210232 236511 253234 315348 344016 379851 420464 473022 506468 630696 759702 946044 1012936 1139553 1261392 1392787 1519404 1892088 2025872 2279106 2785574 3038808 3784176 4178361 4558212 5571148 6077616 8356722 9116424 11142296 12535083 16713444 18232848 22284592 25070166 33426888 50140332 66853776 100280664 200561328