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198665856 = 2732315563
BaseRepresentation
bin10111101011101…
…10011010000000
3111211211021022200
423311312122000
5401324301411
631414033200
74631426514
oct1365663200
9454737280
10198665856
11a2161664
1256648800
133220ac7c
141c556144
1512693e56
hexbd76680

198665856 has 96 divisors (see below), whose sum is σ = 590229120. Its totient is φ = 64074240.

The previous prime is 198665833. The next prime is 198665897. The reversal of 198665856 is 658566891.

It is a happy number.

198665856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32931 + ... + 38493.

It is an arithmetic number, because the mean of its divisors is an integer number (6148220).

Almost surely, 2198665856 is an apocalyptic number.

198665856 is a gapful number since it is divisible by the number (16) 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 198665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295114560).

198665856 is an abundant number, since it is smaller than the sum of its proper divisors (391563264).

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

198665856 is a wasteful number, since it uses less digits than its factorization.

198665856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5599 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 198665856 is about 14094.8875838014. The cubic root of 198665856 is about 583.5002918739.

The spelling of 198665856 in words is "one hundred ninety-eight million, six hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5563 5952 8928 11126 11904 16689 17856 22252 33378 35712 44504 50067 66756 89008 100134 133512 172453 178016 200268 267024 344906 356032 400536 517359 534048 689812 712064 801072 1034718 1068096 1379624 1552077 1602144 2069436 2136192 2759248 3104154 3204288 4138872 5518496 6208308 6408576 8277744 11036992 12416616 16555488 22073984 24833232 33110976 49666464 66221952 99332928 198665856