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199655064 = 23337132047
BaseRepresentation
bin10111110011001…
…11111010011000
3111220200112021000
423321213322120
5402102430224
631451145000
74643016510
oct1371477230
9456615230
10199655064
11a2777894
1256a45160
13324962bb
141c732840
15127dc0c9
hexbe67e98

199655064 has 64 divisors (see below), whose sum is σ = 633830400. Its totient is φ = 57043872.

The previous prime is 199655039. The next prime is 199655101. The reversal of 199655064 is 460556991.

It is a happy number.

199655064 is a `hidden beast` number, since 1 + 9 + 96 + 550 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64512 + ... + 67535.

It is an arithmetic number, because the mean of its divisors is an integer number (9903600).

Almost surely, 2199655064 is an apocalyptic number.

199655064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199655064 is an abundant number, since it is smaller than the sum of its proper divisors (434175336).

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

199655064 is a wasteful number, since it uses less digits than its factorization.

199655064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132069 (or 132059 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 199655064 is about 14129.9350316978. The cubic root of 199655064 is about 584.4671545174.

The spelling of 199655064 in words is "one hundred ninety-nine million, six hundred fifty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 132047 264094 396141 528188 792282 924329 1056376 1188423 1584564 1848658 2376846 2772987 3169128 3565269 3697316 4753692 5545974 7130538 7394632 8318961 9507384 11091948 14261076 16637922 22183896 24956883 28522152 33275844 49913766 66551688 99827532 199655064