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200642208 = 25313283149
BaseRepresentation
bin10111111010110…
…00111010100000
3111222112200100220
423331120322200
5402331022313
631524243040
74654300464
oct1375307240
9458480326
10200642208
11a3291508
1257240480
1332750700
141c90c4a4
1512934823
hexbf58ea0

200642208 has 144 divisors (see below), whose sum is σ = 581061600. Its totient is φ = 60582912.

The previous prime is 200642207. The next prime is 200642219. The reversal of 200642208 is 802246002.

It is a super-2 number, since 2×2006422082 = 80514591262230528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (200642207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1346518 + ... + 1346666.

It is an arithmetic number, because the mean of its divisors is an integer number (4035150).

Almost surely, 2200642208 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 200642208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290530800).

200642208 is an abundant number, since it is smaller than the sum of its proper divisors (380419392).

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

200642208 is a wasteful number, since it uses less digits than its factorization.

200642208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 200642208 is about 14164.8229074705. The cubic root of 200642208 is about 585.4288213876.

The spelling of 200642208 in words is "two hundred million, six hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 149 156 166 169 208 249 298 312 332 338 416 447 498 507 596 624 664 676 894 996 1014 1079 1192 1248 1328 1352 1788 1937 1992 2028 2158 2384 2656 2704 3237 3576 3874 3984 4056 4316 4768 5408 5811 6474 7152 7748 7968 8112 8632 11622 12367 12948 14027 14304 15496 16224 17264 23244 24734 25181 25896 28054 30992 34528 37101 42081 46488 49468 50362 51792 56108 61984 74202 75543 84162 92976 98936 100724 103584 112216 148404 151086 160771 168324 185952 197872 201448 224432 296808 302172 321542 336648 395744 402896 448864 482313 593616 604344 643084 673296 805792 964626 1187232 1208688 1286168 1346592 1929252 2090023 2417376 2572336 3858504 4180046 5144672 6270069 7717008 8360092 12540138 15434016 16720184 25080276 33440368 50160552 66880736 100321104 200642208