Search a number
-
+
18800232192 = 28347218503
BaseRepresentation
bin10001100000100101…
…001100011100000000
31210112012221202020000
4101200211030130000
5302000324412232
612345310120000
71233613223400
oct214045143400
953465852200
1018800232192
117a78271785
1237881b0000
131a07c65061
14ca4c16800
1575077927c
hex46094c700

18800232192 has 270 divisors, whose sum is σ = 65214886968. Its totient is φ = 5371204608.

The previous prime is 18800232163. The next prime is 18800232197. The reversal of 18800232192 is 29123200881.

It is a super-2 number, since 2×188002321922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18800232197) 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 29 ways as a sum of consecutive naturals, for example, 1006813 + ... + 1025315.

Almost surely, 218800232192 is an apocalyptic number.

18800232192 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 18800232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32607443484).

18800232192 is an abundant number, since it is smaller than the sum of its proper divisors (46414654776).

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

18800232192 is an equidigital number, since it uses as much as digits as its factorization.

18800232192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545 (or 18515 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18800232192 in words is "eighteen billion, eight hundred million, two hundred thirty-two thousand, one hundred ninety-two".