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200335968 = 25327432311
BaseRepresentation
bin10111111000011…
…10001001100000
3111221222010021200
423330032021200
5402241222333
631513521200
74651553610
oct1374161140
9457863250
10200335968
11a30a2418
1257113200
13326741c1
141c86ca40
15128c3c13
hexbf0e260

200335968 has 144 divisors (see below), whose sum is σ = 666521856. Its totient is φ = 55883520.

The previous prime is 200335951. The next prime is 200335979. The reversal of 200335968 is 869533002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85533 + ... + 87843.

It is an arithmetic number, because the mean of its divisors is an integer number (4628624).

Almost surely, 2200335968 is an apocalyptic number.

200335968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200335968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333260928).

200335968 is an abundant number, since it is smaller than the sum of its proper divisors (466185888).

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

200335968 is a wasteful number, since it uses less digits than its factorization.

200335968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 200335968 is about 14154.0089020744. The cubic root of 200335968 is about 585.1308232512.

The spelling of 200335968 in words is "two hundred million, three hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 602 672 688 774 903 1008 1032 1204 1376 1548 1806 2016 2064 2311 2408 2709 3096 3612 4128 4622 4816 5418 6192 6933 7224 9244 9632 10836 12384 13866 14448 16177 18488 20799 21672 27732 28896 32354 36976 41598 43344 48531 55464 64708 73952 83196 86688 97062 99373 110928 129416 145593 166392 194124 198746 221856 258832 291186 298119 332784 388248 397492 517664 582372 596238 665568 695611 776496 794984 894357 1164744 1192476 1391222 1552992 1589968 1788714 2086833 2329488 2384952 2782444 3179936 3577428 4173666 4658976 4769904 5564888 6260499 7154856 8347332 9539808 11129776 12520998 14309712 16694664 22259552 25041996 28619424 33389328 50083992 66778656 100167984 200335968