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199995372 = 22331851809
BaseRepresentation
bin10111110101110…
…10111111101100
3111221022211002000
423322322333230
5402144322442
631502332300
74645634613
oct1372727754
9457284060
10199995372
11a298a535
1256b8a090
1332585175
141c7c087a
1512857d4c
hexbebafec

199995372 has 24 divisors (see below), whose sum is σ = 518506800. Its totient is φ = 66665088.

The previous prime is 199995347. The next prime is 199995379. The reversal of 199995372 is 273599991.

199995372 is a `hidden beast` number, since 19 + 9 + 99 + 537 + 2 = 666.

199995372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1999953723 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (199995379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925797 + ... + 926012.

It is an arithmetic number, because the mean of its divisors is an integer number (21604450).

Almost surely, 2199995372 is an apocalyptic number.

199995372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199995372 is an abundant number, since it is smaller than the sum of its proper divisors (318511428).

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

199995372 is a wasteful number, since it uses less digits than its factorization.

199995372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851822 (or 1851814 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The square root of 199995372 is about 14141.9719982752. The cubic root of 199995372 is about 584.7990368231.

The spelling of 199995372 in words is "one hundred ninety-nine million, nine hundred ninety-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1851809 3703618 5555427 7407236 11110854 16666281 22221708 33332562 49998843 66665124 99997686 199995372