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200674656 = 253271321931
BaseRepresentation
bin10111111011000…
…00110101100000
3111222121022212200
423331200311200
5402333042111
631525053200
74654464210
oct1375406540
9458538780
10200674656
11a3303926
1257257200
1332762400
141c91a240
151293e256
hexbf60d60

200674656 has 432 divisors, whose sum is σ = 767370240. Its totient is φ = 48522240.

The previous prime is 200674633. The next prime is 200674673. The reversal of 200674656 is 656476002.

200674656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200674656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6473361 + ... + 6473391.

It is an arithmetic number, because the mean of its divisors is an integer number (1776320).

Almost surely, 2200674656 is an apocalyptic number.

200674656 is a gapful number since it is divisible by the number (26) 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 200674656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383685120).

200674656 is an abundant number, since it is smaller than the sum of its proper divisors (566695584).

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

200674656 is a wasteful number, since it uses less digits than its factorization.

200674656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 200674656 is about 14165.9682337636. The cubic root of 200674656 is about 585.4603783411.

The spelling of 200674656 in words is "two hundred million, six hundred seventy-four thousand, six hundred fifty-six".