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199120392 = 23325774793
BaseRepresentation
bin10111101111001…
…01011000001000
3111212200100211100
423313211120020
5401433323032
631431501400
74635331632
oct1367453010
9455610740
10199120392
11a2442109
1256827860
1332339b23
141c633a52
151273397c
hexbde5608

199120392 has 48 divisors (see below), whose sum is σ = 540331740. Its totient is φ = 66244608.

The previous prime is 199120391. The next prime is 199120433. The reversal of 199120392 is 293021991.

It is a happy number.

199120392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 143856036 + 55264356 = 11994^2 + 7434^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (199120391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39148 + ... + 43940.

Almost surely, 2199120392 is an apocalyptic number.

199120392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199120392 is an abundant number, since it is smaller than the sum of its proper divisors (341211348).

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

199120392 is a wasteful number, since it uses less digits than its factorization.

199120392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 199120392 is about 14111.0025157676. The cubic root of 199120392 is about 583.9449579075.

The spelling of 199120392 in words is "one hundred ninety-nine million, one hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 577 1154 1731 2308 3462 4616 4793 5193 6924 9586 10386 13848 14379 19172 20772 28758 38344 41544 43137 57516 86274 115032 172548 345096 2765561 5531122 8296683 11062244 16593366 22124488 24890049 33186732 49780098 66373464 99560196 199120392