188225400 has 288 divisors, whose sum is σ = 680313600. Its totient is φ = 42681600.

The previous prime is 188225371. The next prime is 188225413. The reversal of 188225400 is 4522881.

188225400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2382561 + ... + 2382639.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^188225400 is an apocalyptic number.

188225400 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 188225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340156800).

188225400 is an abundant number, since it is smaller than the sum of its proper divisors (492088200).

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

188225400 is a wasteful number, since it uses less digits than its factorization.

188225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 188225400 is about 13719.5262308871. The cubic root of 188225400 is about 573.0942831920.

The spelling of 188225400 in words is "one hundred eighty-eight million, two hundred twenty-five thousand, four hundred".