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198255232 = 2771731279
BaseRepresentation
bin10111101000100…
…10001010000000
3111211001102001101
423310102022000
5401223131412
631401144144
74625066410
oct1364221200
9454042041
10198255232
11a1a010aa
125648b054
13320c60b6
141c48a640
1512612457
hexbd12280

198255232 has 64 divisors (see below), whose sum is σ = 454348800. Its totient is φ = 84409344.

The previous prime is 198255221. The next prime is 198255247. The reversal of 198255232 is 232552891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 198255191 and 198255200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154369 + ... + 155647.

It is an arithmetic number, because the mean of its divisors is an integer number (7099200).

Almost surely, 2198255232 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 198255232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227174400).

198255232 is an abundant number, since it is smaller than the sum of its proper divisors (256093568).

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

198255232 is a wasteful number, since it uses less digits than its factorization.

198255232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 198255232 is about 14080.3136328705. The cubic root of 198255232 is about 583.0980008193.

The spelling of 198255232 in words is "one hundred ninety-eight million, two hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 346 448 692 896 1211 1279 1384 2422 2558 2768 4844 5116 5536 8953 9688 10232 11072 17906 19376 20464 22144 35812 38752 40928 71624 77504 81856 143248 155008 163712 221267 286496 442534 572992 885068 1145984 1548869 1770136 3097738 3540272 6195476 7080544 12390952 14161088 24781904 28322176 49563808 99127616 198255232