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199120968 = 233216632
BaseRepresentation
bin10111101111001…
…01100001001000
3111212200101121200
423313211201020
5401433332333
631431504200
74635333414
oct1367454110
9455611550
10199120968
11a2442592
1256828060
133233a177
141c633d44
1512733c13
hexbde5848

199120968 has 36 divisors (see below), whose sum is σ = 539610435. Its totient is φ = 66333744.

The previous prime is 199120919. The next prime is 199120973. The reversal of 199120968 is 869021991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

199120968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 99560484 + 99560484 = 9978^2 + 9978^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9978.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118905 + ... + 120567.

Almost surely, 2199120968 is an apocalyptic number.

199120968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199120968 is an abundant number, since it is smaller than the sum of its proper divisors (340489467).

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

199120968 is an equidigital number, since it uses as much as digits as its factorization.

199120968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 199120968 is about 14111.0229253587. The cubic root of 199120968 is about 583.9455209704.

The spelling of 199120968 in words is "one hundred ninety-nine million, one hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1663 3326 4989 6652 9978 13304 14967 19956 29934 39912 59868 119736 2765569 5531138 8296707 11062276 16593414 22124552 24890121 33186828 49780242 66373656 99560484 199120968