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198572868 = 2232131014201
BaseRepresentation
bin10111101010111…
…11101101000100
3111211122112202200
423311133231010
5401313312433
631412034500
74630561434
oct1365375504
9454575680
10198572868
11a20a880a
1256602a30
13321a7850
141c5302c4
1512676613
hexbd5fb44

198572868 has 72 divisors (see below), whose sum is σ = 546041496. Its totient is φ = 60480000.

The previous prime is 198572867. The next prime is 198572897. The reversal of 198572868 is 868275891.

198572868 is a `hidden beast` number, since 1 + 9 + 8 + 572 + 8 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 189282564 = 3048^2 + 13758^2 .

Its product of digits (1935360) is a multiple of the sum of its prime divisors (4320).

It is not an unprimeable number, because it can be changed into a prime (198572863) 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 23 ways as a sum of consecutive naturals, for example, 45168 + ... + 49368.

Almost surely, 2198572868 is an apocalyptic number.

198572868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198572868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273020748).

198572868 is an abundant number, since it is smaller than the sum of its proper divisors (347468628).

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

198572868 is a wasteful number, since it uses less digits than its factorization.

198572868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4320 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 198572868 is about 14091.5885548791. The cubic root of 198572868 is about 583.4092395010.

The spelling of 198572868 in words is "one hundred ninety-eight million, five hundred seventy-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1818 2626 3636 3939 4201 5252 7878 8402 11817 12603 15756 16804 23634 25206 37809 47268 50412 54613 75618 109226 151236 163839 218452 327678 424301 491517 655356 848602 983034 1272903 1697204 1966068 2545806 3818709 5091612 5515913 7637418 11031826 15274836 16547739 22063652 33095478 49643217 66190956 99286434 198572868