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132199200 = 25325274361
BaseRepresentation
bin1111110000100…
…11001100100000
3100012202102012200
413320103030200
5232320333300
621041253200
73163450260
oct770231440
9305672180
10132199200
1168694241
1238334200
13215087a3
14137b37a0
15b915200
hex7e13320

132199200 has 432 divisors, whose sum is σ = 554089536. Its totient is φ = 29030400.

The previous prime is 132199189. The next prime is 132199219. The reversal of 132199200 is 2991231.

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, 2167170 + ... + 2167230.

Almost surely, 2132199200 is an apocalyptic number.

132199200 is a gapful number since it is divisible by the number (10) 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 132199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277044768).

132199200 is an abundant number, since it is smaller than the sum of its proper divisors (421890336).

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

132199200 is a wasteful number, since it uses less digits than its factorization.

132199200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 132199200 is about 11497.7910922055. The cubic root of 132199200 is about 509.4203333259.

The spelling of 132199200 in words is "one hundred thirty-two million, one hundred ninety-nine thousand, two hundred".