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113848200 = 23335229727
BaseRepresentation
bin1101100100100…
…10111110001000
321221020002101000
412302102332020
5213121120300
615144055000
72551456644
oct662227610
9257202330
10113848200
115929a924
1232164460
131a781acb
1411197c24
159edcc00
hex6c92f88

113848200 has 192 divisors, whose sum is σ = 406224000. Its totient is φ = 29272320.

The previous prime is 113848193. The next prime is 113848237. The reversal of 113848200 is 2848311.

It is a super-2 number, since 2×1138482002 = 25922825286480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156237 + ... + 156963.

It is an arithmetic number, because the mean of its divisors is an integer number (2115750).

Almost surely, 2113848200 is an apocalyptic number.

113848200 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 113848200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

113848200 is an abundant number, since it is smaller than the sum of its proper divisors (292375800).

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

113848200 is a wasteful number, since it uses less digits than its factorization.

113848200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 113848200 is about 10669.9671977003. The cubic root of 113848200 is about 484.6654439829.

The spelling of 113848200 in words is "one hundred thirteen million, eight hundred forty-eight thousand, two hundred".