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198531152 = 24193311973
BaseRepresentation
bin10111101010101…
…01100001010000
3111211120102112122
423311111201100
5401310444102
631411113412
74630326011
oct1365254120
9454512478
10198531152
11a207a436
12565a2868
1332191871
141c51d008
15126690a2
hexbd55850

198531152 has 40 divisors (see below), whose sum is σ = 406328160. Its totient is φ = 93709440.

The previous prime is 198531139. The next prime is 198531197. The reversal of 198531152 is 251135891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99638 + ... + 101610.

It is an arithmetic number, because the mean of its divisors is an integer number (10158204).

Almost surely, 2198531152 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 198531152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164080).

198531152 is an abundant number, since it is smaller than the sum of its proper divisors (207797008).

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

198531152 is a wasteful number, since it uses less digits than its factorization.

198531152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2325 counting only the distinct ones).

The product of its digits is 10800, while the sum is 35.

The square root of 198531152 is about 14090.1083033453. The cubic root of 198531152 is about 583.3683826197.

The spelling of 198531152 in words is "one hundred ninety-eight million, five hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 331 662 1324 1973 2648 3946 5296 6289 7892 12578 15784 25156 31568 37487 50312 74974 100624 149948 299896 599792 653063 1306126 2612252 5224504 10449008 12408197 24816394 49632788 99265576 198531152