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199427616 = 2533230819
BaseRepresentation
bin10111110001100…
…00011000100000
3111220020222021000
423320300120200
5402023140431
631442232000
74641051423
oct1370603040
9456228230
10199427616
11a2631a13
1256955600
133241690b
141c6b39ba
15127949e6
hexbe30620

199427616 has 48 divisors (see below), whose sum is σ = 581666400. Its totient is φ = 66475584.

The previous prime is 199427597. The next prime is 199427617. The reversal of 199427616 is 616724991.

199427616 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (199427617) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 114546 + ... + 116273.

It is an arithmetic number, because the mean of its divisors is an integer number (12118050).

Almost surely, 2199427616 is an apocalyptic number.

199427616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199427616 is an abundant number, since it is smaller than the sum of its proper divisors (382238784).

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

199427616 is a wasteful number, since it uses less digits than its factorization.

199427616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230838 (or 230824 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 199427616 is about 14121.8842935353. The cubic root of 199427616 is about 584.2451275958.

The spelling of 199427616 in words is "one hundred ninety-nine million, four hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 230819 461638 692457 923276 1384914 1846552 2077371 2769828 3693104 4154742 5539656 6232113 7386208 8309484 11079312 12464226 16618968 22158624 24928452 33237936 49856904 66475872 99713808 199427616