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200038272 = 273774419
BaseRepresentation
bin10111110110001…
…01011110000000
3111221101222220220
423323011132000
5402202211042
631503303040
74646203650
oct1373053600
9457358826
10200038272
11a2a09795
1256baaa80
133259b855
141c7d2360
15128658ec
hexbec5780

200038272 has 64 divisors (see below), whose sum is σ = 607267200. Its totient is φ = 57153024.

The previous prime is 200038249. The next prime is 200038283. The reversal of 200038272 is 272830002.

200038272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34522 + ... + 39897.

It is an arithmetic number, because the mean of its divisors is an integer number (9488550).

Almost surely, 2200038272 is an apocalyptic number.

It is an amenable number.

200038272 is an abundant number, since it is smaller than the sum of its proper divisors (407228928).

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

200038272 is an equidigital number, since it uses as much as digits as its factorization.

200038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74443 (or 74431 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 200038272 is about 14143.4886785404. The cubic root of 200038272 is about 584.8408479324.

Adding to 200038272 its reverse (272830002), we get a palindrome (472868274).

The spelling of 200038272 in words is "two hundred million, thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 74419 148838 223257 297676 446514 520933 595352 893028 1041866 1190704 1562799 1786056 2083732 2381408 3125598 3572112 4167464 4762816 6251196 7144224 8334928 9525632 12502392 14288448 16669856 25004784 28576896 33339712 50009568 66679424 100019136 200038272