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199690920 = 233451113431
BaseRepresentation
bin10111110011100…
…00101010101000
3111220202100110000
423321300222220
5402110102140
631452023000
74643226162
oct1371605250
9456670400
10199690920
11a27a1820
1256a61a60
13324a9710
141c741932
15127e7a30
hexbe70aa8

199690920 has 320 divisors, whose sum is σ = 790352640. Its totient is φ = 44582400.

The previous prime is 199690919. The next prime is 199690937. The reversal of 199690920 is 29096991.

It is a happy number.

199690920 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 463105 + ... + 463535.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 2199690920 is an apocalyptic number.

199690920 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 199690920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395176320).

199690920 is an abundant number, since it is smaller than the sum of its proper divisors (590661720).

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

199690920 is a wasteful number, since it uses less digits than its factorization.

199690920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 199690920 is about 14131.2037703799. The cubic root of 199690920 is about 584.5021405235.

The spelling of 199690920 in words is "one hundred ninety-nine million, six hundred ninety thousand, nine hundred twenty".