228561400 has 48 divisors (see below), whose sum is σ = 533492640. Its totient is φ = 91065600.

The previous prime is 228561367. The next prime is 228561401. The reversal of 228561400 is 4165822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228561401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52092 + ... + 56308.

It is an arithmetic number, because the mean of its divisors is an integer number (11114430).

Almost surely, 2^228561400 is an apocalyptic number.

228561400 is a gapful number since it is divisible by the number (20) 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 228561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266746320).

228561400 is an abundant number, since it is smaller than the sum of its proper divisors (304931240).

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

228561400 is a wasteful number, since it uses less digits than its factorization.

228561400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 228561400 is about 15118.2472529060. The cubic root of 228561400 is about 611.4124752967.

The spelling of 228561400 in words is "two hundred twenty-eight million, five hundred sixty-one thousand, four hundred".