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23420130192 = 24321621100333
BaseRepresentation
bin10101110011111100…
…101101001110010000
32020110012002212212100
4111303330231032100
5340431023131232
614431542400400
71456241551644
oct256374551620
966405085770
1023420130192
119a290644a8
124657430100
13229312b204
1411c2612c24
1592114cc7c
hex573f2d390

23420130192 has 60 divisors (see below), whose sum is σ = 65584924444. Its totient is φ = 7801816320.

The previous prime is 23420130143. The next prime is 23420130193. The reversal of 23420130192 is 29103102432.

It is a happy number.

23420130192 is a `hidden beast` number, since 2 + 342 + 0 + 130 + 192 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18040787856 + 5379342336 = 134316^2 + 73344^2 .

It is not an unprimeable number, because it can be changed into a prime (23420130193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183258 + ... + 283590.

Almost surely, 223420130192 is an apocalyptic number.

It is an amenable number.

23420130192 is an abundant number, since it is smaller than the sum of its proper divisors (42164794252).

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

23420130192 is a wasteful number, since it uses less digits than its factorization.

23420130192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101968 (or 101959 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 23420130192 in words is "twenty-three billion, four hundred twenty million, one hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1621 3242 4863 6484 9726 12968 14589 19452 25936 29178 38904 58356 77808 100333 116712 200666 233424 300999 401332 601998 802664 902997 1203996 1605328 1805994 2407992 3611988 4815984 7223976 14447952 162639793 325279586 487919379 650559172 975838758 1301118344 1463758137 1951677516 2602236688 2927516274 3903355032 5855032548 7806710064 11710065096 23420130192