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199880952 = 23347917387
BaseRepresentation
bin10111110100111…
…11000011111000
3111221010000010020
423322133003320
5402132142302
631500050440
74644650205
oct1372370370
9457100106
10199880952
11a2911577
1256b33a20
133254506b
141c790cac
1512833ebc
hexbe9f0f8

199880952 has 32 divisors (see below), whose sum is σ = 500774400. Its totient is φ = 66484064.

The previous prime is 199880929. The next prime is 199880953. The reversal of 199880952 is 259088991.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 199880895 and 199880904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199880953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2803 + ... + 20189.

It is an arithmetic number, because the mean of its divisors is an integer number (15649200).

Almost surely, 2199880952 is an apocalyptic number.

199880952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199880952 is an abundant number, since it is smaller than the sum of its proper divisors (300893448).

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

199880952 is a wasteful number, since it uses less digits than its factorization.

199880952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17875 (or 17871 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 199880952 is about 14137.9260148015. The cubic root of 199880952 is about 584.6874917913.

The spelling of 199880952 in words is "one hundred ninety-nine million, eight hundred eighty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 479 958 1437 1916 2874 3832 5748 11496 17387 34774 52161 69548 104322 139096 208644 417288 8328373 16656746 24985119 33313492 49970238 66626984 99940476 199880952