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199522944 = 27323137151
BaseRepresentation
bin10111110010001…
…11101010000000
3111220102211000200
423321013222000
5402034213234
631444245200
74641626355
oct1371075200
9456384020
10199522944
11a26975a5
12569a0800
133244b11a
141c6da62c
15127b2d99
hexbe47a80

199522944 has 192 divisors, whose sum is σ = 612718080. Its totient is φ = 62208000.

The previous prime is 199522909. The next prime is 199522957. The reversal of 199522944 is 449225991.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 199522944.

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 23 ways as a sum of consecutive naturals, for example, 1321269 + ... + 1321419.

It is an arithmetic number, because the mean of its divisors is an integer number (3191240).

Almost surely, 2199522944 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 199522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306359040).

199522944 is an abundant number, since it is smaller than the sum of its proper divisors (413195136).

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

199522944 is a wasteful number, since it uses less digits than its factorization.

199522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 199522944 is about 14125.2590772701. The cubic root of 199522944 is about 584.3382040526.

The spelling of 199522944 in words is "one hundred ninety-nine million, five hundred twenty-two thousand, nine hundred forty-four".