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198200856 = 233719312003
BaseRepresentation
bin10111101000001…
…00111000011000
3111210221122110110
423310010320120
5401214411411
631400044320
74624452030
oct1364047030
9453848413
10198200856
11a1974267
12564636a0
13320a7419
141c4748c0
15126012a6
hexbd04e18

198200856 has 128 divisors (see below), whose sum is σ = 615628800. Its totient is φ = 51891840.

The previous prime is 198200851. The next prime is 198200857. The reversal of 198200856 is 658002891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198200851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97951 + ... + 99953.

It is an arithmetic number, because the mean of its divisors is an integer number (4809600).

Almost surely, 2198200856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198200856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307814400).

198200856 is an abundant number, since it is smaller than the sum of its proper divisors (417427944).

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

198200856 is a wasteful number, since it uses less digits than its factorization.

198200856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 198200856 is about 14078.3825775549. The cubic root of 198200856 is about 583.0446866549.

The spelling of 198200856 in words is "one hundred ninety-eight million, two hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 56 57 62 76 84 93 114 124 133 152 168 186 217 228 248 266 372 399 434 456 532 589 651 744 798 868 1064 1178 1302 1596 1736 1767 2003 2356 2604 3192 3534 4006 4123 4712 5208 6009 7068 8012 8246 12018 12369 14021 14136 16024 16492 24036 24738 28042 32984 38057 42063 48072 49476 56084 62093 76114 84126 98952 112168 114171 124186 152228 168252 186279 228342 248372 266399 304456 336504 372558 434651 456684 496744 532798 745116 799197 869302 913368 1065596 1179767 1303953 1490232 1598394 1738604 2131192 2359534 2607906 3196788 3477208 3539301 4719068 5215812 6393576 7078602 8258369 9438136 10431624 14157204 16516738 24775107 28314408 33033476 49550214 66066952 99100428 198200856