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198055944 = 233223199601
BaseRepresentation
bin10111100111000…
…01100000001000
3111210200021200100
423303201200020
5401200242234
631353005400
74623306402
oct1363414010
9453607610
10198055944
11a18853a9
12563b3860
1332056488
141c437b72
15125c3399
hexbce1808

198055944 has 96 divisors (see below), whose sum is σ = 563472000. Its totient is φ = 62726400.

The previous prime is 198055939. The next prime is 198055951. The reversal of 198055944 is 449550891.

198055944 is a `hidden beast` number, since 1 + 98 + 0 + 559 + 4 + 4 = 666.

It is a super-2 number, since 2×1980559442 = 78452313907462272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 198055944.

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 23 ways as a sum of consecutive naturals, for example, 329244 + ... + 329844.

It is an arithmetic number, because the mean of its divisors is an integer number (5869500).

Almost surely, 2198055944 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 198055944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281736000).

198055944 is an abundant number, since it is smaller than the sum of its proper divisors (365416056).

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

198055944 is a wasteful number, since it uses less digits than its factorization.

198055944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 198055944 is about 14073.2350225526. The cubic root of 198055944 is about 582.9025568091.

The spelling of 198055944 in words is "one hundred ninety-eight million, fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 199 207 276 398 414 552 597 601 796 828 1194 1202 1592 1656 1791 1803 2388 2404 3582 3606 4577 4776 4808 5409 7164 7212 9154 10818 13731 13823 14328 14424 18308 21636 27462 27646 36616 41193 41469 43272 54924 55292 82386 82938 109848 110584 119599 124407 164772 165876 239198 248814 329544 331752 358797 478396 497628 717594 956792 995256 1076391 1435188 2152782 2750777 2870376 4305564 5501554 8252331 8611128 11003108 16504662 22006216 24756993 33009324 49513986 66018648 99027972 198055944