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198826016 = 2517365489
BaseRepresentation
bin10111101100111…
…01100000100000
3111212010102000112
423312131200200
5401344413031
631421310452
74632664454
oct1366354040
9455112015
10198826016
11a2260a24
1256705428
1332265b3c
141c598664
15126c662b
hexbd9d820

198826016 has 24 divisors (see below), whose sum is σ = 414465660. Its totient is φ = 93564928.

The previous prime is 198825989. The next prime is 198826037. The reversal of 198826016 is 610628891.

It can be written as a sum of positive squares in 2 ways, for example, as 184416400 + 14409616 = 13580^2 + 3796^2 .

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 3 ways as a sum of consecutive naturals, for example, 182201 + ... + 183288.

Almost surely, 2198826016 is an apocalyptic number.

198826016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198826016 is an abundant number, since it is smaller than the sum of its proper divisors (215639644).

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

198826016 is a wasteful number, since it uses less digits than its factorization.

198826016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365516 (or 365508 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 198826016 is about 14100.5679318246. The cubic root of 198826016 is about 583.6570514139.

The spelling of 198826016 in words is "one hundred ninety-eight million, eight hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 365489 730978 1461956 2923912 5847824 6213313 11695648 12426626 24853252 49706504 99413008 198826016