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198198912 = 2732322441
BaseRepresentation
bin10111101000001…
…00011010000000
3111210221112210110
423310010122000
5401214331122
631400031320
74624443252
oct1364043200
9453845713
10198198912
11a197285a
1256462540
13320a6582
141c473cd2
151260090c
hexbd04680

198198912 has 64 divisors (see below), whose sum is σ = 549380160. Its totient is φ = 63191040.

The previous prime is 198198907. The next prime is 198198919. The reversal of 198198912 is 219891891.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (198198919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2389 + ... + 20052.

It is an arithmetic number, because the mean of its divisors is an integer number (8584065).

Almost surely, 2198198912 is an apocalyptic number.

198198912 is a gapful number since it is divisible by the number (12) 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 198198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274690080).

198198912 is an abundant number, since it is smaller than the sum of its proper divisors (351181248).

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

198198912 is a wasteful number, since it uses less digits than its factorization.

198198912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22481 (or 22469 counting only the distinct ones).

The product of its digits is 93312, while the sum is 48.

The square root of 198198912 is about 14078.3135353635. The cubic root of 198198912 is about 583.0427804361.

The spelling of 198198912 in words is "one hundred ninety-eight million, one hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 22441 44882 67323 89764 134646 179528 269292 359056 516143 538584 718112 1032286 1077168 1436224 1548429 2064572 2154336 2872448 3096858 4129144 4308672 6193716 8258288 8617344 12387432 16516576 24774864 33033152 49549728 66066304 99099456 198198912