189256900 has 72 divisors (see below), whose sum is σ = 485593920. Its totient is φ = 62643840.

The previous prime is 189256883. The next prime is 189256901. The reversal of 189256900 is 9652981.

189256900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×189256900² = 71636348395220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189256901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15639 + ... + 24961.

It is an arithmetic number, because the mean of its divisors is an integer number (6744360).

Almost surely, 2^189256900 is an apocalyptic number.

189256900 is a gapful number since it is divisible by the number (10) 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 189256900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242796960).

189256900 is an abundant number, since it is smaller than the sum of its proper divisors (296337020).

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

189256900 is a wasteful number, since it uses less digits than its factorization.

189256900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9373 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 189256900 is about 13757.0672746774. The cubic root of 189256900 is about 574.1392540527.

The spelling of 189256900 in words is "one hundred eighty-nine million, two hundred fifty-six thousand, nine hundred".