228233400 has 96 divisors (see below), whose sum is σ = 716204160. Its totient is φ = 60115840.

The previous prime is 228233399. The next prime is 228233407. The reversal of 228233400 is 4332822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228233407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47509 + ... + 52091.

It is an arithmetic number, because the mean of its divisors is an integer number (7460460).

Almost surely, 2^228233400 is an apocalyptic number.

228233400 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 228233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358102080).

228233400 is an abundant number, since it is smaller than the sum of its proper divisors (487970760).

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

228233400 is a wasteful number, since it uses less digits than its factorization.

228233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 228233400 is about 15107.3955399334. The cubic root of 228233400 is about 611.1198634804.

The spelling of 228233400 in words is "two hundred twenty-eight million, two hundred thirty-three thousand, four hundred".