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198725652 = 22325520157
BaseRepresentation
bin10111101100001…
…01000000010100
3111211221022100100
423312011000110
5401333210102
631415214100
74632066036
oct1366050024
9454838310
10198725652
11a21a2584
1256677330
133222c258
141c56dc56
15126a6a1c
hexbd85014

198725652 has 18 divisors (see below), whose sum is σ = 502334378. Its totient is φ = 66241872.

The previous prime is 198725641. The next prime is 198725671. The reversal of 198725652 is 256527891.

198725652 is a `hidden beast` number, since 1 + 9 + 87 + 2 + 565 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 170145936 + 28579716 = 13044^2 + 5346^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 198725598 and 198725607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2760043 + ... + 2760114.

Almost surely, 2198725652 is an apocalyptic number.

198725652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198725652 is an abundant number, since it is smaller than the sum of its proper divisors (303608726).

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

198725652 is a wasteful number, since it uses less digits than its factorization.

198725652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520167 (or 5520162 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 198725652 is about 14097.0086188524. The cubic root of 198725652 is about 583.5588281588.

The spelling of 198725652 in words is "one hundred ninety-eight million, seven hundred twenty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5520157 11040314 16560471 22080628 33120942 49681413 66241884 99362826 198725652