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200662672 = 24723611277
BaseRepresentation
bin10111111010111…
…01111010010000
3111222120201102211
423331131322100
5402332201142
631524521504
74654414240
oct1375357220
9458521384
10200662672
11a32a5921
1257250294
1332759b12
141c915b20
151293a917
hexbf5de90

200662672 has 80 divisors (see below), whose sum is σ = 471612672. Its totient is φ = 80847360.

The previous prime is 200662669. The next prime is 200662681. The reversal of 200662672 is 276266002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156498 + ... + 157774.

Almost surely, 2200662672 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 200662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235806336).

200662672 is an abundant number, since it is smaller than the sum of its proper divisors (270950000).

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

200662672 is a wasteful number, since it uses less digits than its factorization.

200662672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 200662672 is about 14165.5452418889. The cubic root of 200662672 is about 585.4487238269.

The spelling of 200662672 in words is "two hundred million, six hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 61 92 112 122 161 184 244 322 368 427 488 644 854 976 1277 1288 1403 1708 2554 2576 2806 3416 5108 5612 6832 8939 9821 10216 11224 17878 19642 20432 22448 29371 35756 39284 58742 71512 77897 78568 117484 143024 155794 157136 205597 234968 311588 411194 469936 545279 623176 822388 1090558 1246352 1644776 1791631 2181116 3289552 3583262 4362232 7166524 8724464 12541417 14333048 25082834 28666096 50165668 100331336 200662672