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198198036 = 223317107951
BaseRepresentation
bin10111101000001…
…00001100010100
3111210221111121000
423310010030110
5401214314121
631400023300
74624440561
oct1364041424
9453844530
10198198036
11a1972133
1256461b30
13320a605a
141c473868
1512600526
hexbd04314

198198036 has 48 divisors (see below), whose sum is σ = 544078080. Its totient is φ = 62179200.

The previous prime is 198198031. The next prime is 198198041. The reversal of 198198036 is 630891891.

It is an interprime number because it is at equal distance from previous prime (198198031) and next prime (198198041).

It is a super-2 number, since 2×1981980362 = 78564922948514592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198197982 and 198198000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198198031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52140 + ... + 55811.

It is an arithmetic number, because the mean of its divisors is an integer number (11334960).

Almost surely, 2198198036 is an apocalyptic number.

It is an amenable number.

198198036 is an abundant number, since it is smaller than the sum of its proper divisors (345880044).

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

198198036 is a wasteful number, since it uses less digits than its factorization.

198198036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107981 (or 107973 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 198198036 is about 14078.2824236481. The cubic root of 198198036 is about 583.0419214569.

The spelling of 198198036 in words is "one hundred ninety-eight million, one hundred ninety-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 107951 215902 323853 431804 647706 971559 1295412 1835167 1943118 2914677 3670334 3886236 5505501 5829354 7340668 11011002 11658708 16516503 22022004 33033006 49549509 66066012 99099018 198198036