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199996032 = 2734112703
BaseRepresentation
bin10111110101110…
…11001010000000
3111221022211222110
423322323022000
5402144333112
631502335320
74645636545
oct1372731200
9457284873
10199996032
11a298aa85
1256b8a540
1332585562
141c7c0bcc
151285813c
hexbebb280

199996032 has 64 divisors (see below), whose sum is σ = 544239360. Its totient is φ = 65034240.

The previous prime is 199995979. The next prime is 199996051. The reversal of 199996032 is 230699991.

199996032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9393 + ... + 22095.

It is an arithmetic number, because the mean of its divisors is an integer number (8503740).

Almost surely, 2199996032 is an apocalyptic number.

199996032 is a gapful number since it is divisible by the number (12) 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 199996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272119680).

199996032 is an abundant number, since it is smaller than the sum of its proper divisors (344243328).

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

199996032 is a wasteful number, since it uses less digits than its factorization.

199996032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The square root of 199996032 is about 14141.9953330497. The cubic root of 199996032 is about 584.7996801162.

The spelling of 199996032 in words is "one hundred ninety-nine million, nine hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 12703 15744 25406 38109 50812 76218 101624 152436 203248 304872 406496 520823 609744 812992 1041646 1219488 1562469 1625984 2083292 2438976 3124938 4166584 4877952 6249876 8333168 12499752 16666336 24999504 33332672 49999008 66665344 99998016 199996032