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198372880 = 2452479661
BaseRepresentation
bin10111101001011…
…10111000010000
3111211021101102201
423310232320100
5401240413010
631403452544
74626066406
oct1364567020
9454241381
10198372880
11a1a81532
1256527154
1332137804
141c4bb476
151263723a
hexbd2ee10

198372880 has 20 divisors (see below), whose sum is σ = 461217132. Its totient is φ = 79349120.

The previous prime is 198372859. The next prime is 198372887. The reversal of 198372880 is 88273891.

198372880 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 41422096 + 156950784 = 6436^2 + 12528^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 198372880.

It is not an unprimeable number, because it can be changed into a prime (198372887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1239751 + ... + 1239910.

Almost surely, 2198372880 is an apocalyptic number.

198372880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198372880 is an abundant number, since it is smaller than the sum of its proper divisors (262844252).

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

198372880 is a wasteful number, since it uses less digits than its factorization.

198372880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479674 (or 2479668 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 198372880 is about 14084.4907611174. The cubic root of 198372880 is about 583.2133180761.

The spelling of 198372880 in words is "one hundred ninety-eight million, three hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2479661 4959322 9918644 12398305 19837288 24796610 39674576 49593220 99186440 198372880