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198331136 = 28432419
BaseRepresentation
bin10111101001001…
…00101100000000
3111211012021011122
423310210230000
5401233044021
631402531412
74625533613
oct1364445400
9454167148
10198331136
11a1a53133
1256506b68
1332121803
141c4aa17a
1512629bab
hexbd24b00

198331136 has 54 divisors (see below), whose sum is σ = 406275660. Its totient is φ = 96628224.

The previous prime is 198331127. The next prime is 198331151. The reversal of 198331136 is 631133891.

It is a junction number, because it is equal to n+sod(n) for n = 198331096 and 198331105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473135 + ... + 473553.

Almost surely, 2198331136 is an apocalyptic number.

198331136 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 198331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203137830).

198331136 is an abundant number, since it is smaller than the sum of its proper divisors (207944524).

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

198331136 is an frugal number, since it uses more digits than its factorization.

198331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 464 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 198331136 is about 14083.0087694356. The cubic root of 198331136 is about 583.1724062932.

The spelling of 198331136 in words is "one hundred ninety-eight million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 419 688 838 1376 1676 1849 2752 3352 3698 5504 6704 7396 11008 13408 14792 18017 26816 29584 36034 53632 59168 72068 107264 118336 144136 236672 288272 473344 576544 774731 1153088 1549462 2306176 3098924 4612352 6197848 12395696 24791392 49582784 99165568 198331136