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200609472 = 2637295147
BaseRepresentation
bin10111111010100…
…00111011000000
3111222111000110110
423331100323000
5402324000342
631523431320
74654103160
oct1375207300
9458430413
10200609472
11a3269958
1257225540
133273b83b
141c9005a0
1512929c9c
hexbf50ec0

200609472 has 112 divisors (see below), whose sum is σ = 627644160. Its totient is φ = 55329792.

The previous prime is 200609459. The next prime is 200609527. The reversal of 200609472 is 274906002.

It is a happy number.

200609472 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 (112).

It is a super-2 number, since 2×2006094722 = 80488320512237568, which contains 22 as substring.

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, 36403 + ... + 41549.

Almost surely, 2200609472 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 200609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313822080).

200609472 is an abundant number, since it is smaller than the sum of its proper divisors (427034688).

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

200609472 is a wasteful number, since it uses less digits than its factorization.

200609472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 200609472 is about 14163.6673217073. The cubic root of 200609472 is about 585.3969808949.

The spelling of 200609472 in words is "two hundred million, six hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5147 5568 6496 9744 10294 12992 15441 19488 20588 30882 36029 38976 41176 61764 72058 82352 108087 123528 144116 149263 164704 216174 247056 288232 298526 329408 432348 447789 494112 576464 597052 864696 895578 988224 1044841 1152928 1194104 1729392 1791156 2089682 2305856 2388208 3134523 3458784 3582312 4179364 4776416 6269046 6917568 7164624 8358728 9552832 12538092 14329248 16717456 25076184 28658496 33434912 50152368 66869824 100304736 200609472