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200682944 = 26711193211
BaseRepresentation
bin10111111011000…
…10110111000000
3111222121202020122
423331202313000
5402333323234
631525155412
74654530320
oct1375426700
9458552218
10200682944
11a330a080
125725bb68
1332766107
141c91d280
151294192e
hexbf62dc0

200682944 has 112 divisors (see below), whose sum is σ = 501432576. Its totient is φ = 77414400.

The previous prime is 200682919. The next prime is 200682947. The reversal of 200682944 is 449286002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200682947) 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, 950999 + ... + 951209.

Almost surely, 2200682944 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 200682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250716288).

200682944 is an abundant number, since it is smaller than the sum of its proper divisors (300749632).

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

200682944 is a wasteful number, since it uses less digits than its factorization.

200682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 200682944 is about 14166.2607628125. The cubic root of 200682944 is about 585.4684382009.

The spelling of 200682944 in words is "two hundred million, six hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 193 211 224 308 352 386 422 448 616 704 772 844 1232 1351 1477 1544 1688 2123 2321 2464 2702 2954 3088 3376 4246 4642 4928 5404 5908 6176 6752 8492 9284 10808 11816 12352 13504 14861 16247 16984 18568 21616 23632 29722 32494 33968 37136 40723 43232 47264 59444 64988 67936 74272 81446 86464 94528 118888 129976 135872 148544 162892 237776 259952 285061 325784 447953 475552 519904 570122 651568 895906 951104 1039808 1140244 1303136 1791812 2280488 2606272 3135671 3583624 4560976 6271342 7167248 9121952 12542684 14334496 18243904 25085368 28668992 50170736 100341472 200682944