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200132032 = 2631149677
BaseRepresentation
bin10111110110111…
…00010111000000
3111221120202112111
423323130113000
5402213211112
631505305104
74650044212
oct1373342700
9457522474
10200132032
11a2a73181
1257035194
1332602429
141c8185b2
15128835a7
hexbedc5c0

200132032 has 56 divisors (see below), whose sum is σ = 413308800. Its totient is φ = 96046080.

The previous prime is 200132027. The next prime is 200132047. The reversal of 200132032 is 230231002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295278 + ... + 295954.

Almost surely, 2200132032 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 200132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206654400).

200132032 is an abundant number, since it is smaller than the sum of its proper divisors (213176768).

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

200132032 is a wasteful number, since it uses less digits than its factorization.

200132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 200132032 is about 14146.8028896991. The cubic root of 200132032 is about 584.9322073047.

Adding to 200132032 its reverse (230231002), we get a palindrome (430363034).

The spelling of 200132032 in words is "two hundred million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 149 248 298 496 596 677 992 1192 1354 1984 2384 2708 4619 4768 5416 9238 9536 10832 18476 20987 21664 36952 41974 43328 73904 83948 100873 147808 167896 201746 295616 335792 403492 671584 806984 1343168 1613968 3127063 3227936 6254126 6455872 12508252 25016504 50033008 100066016 200132032