228138300 has 432 divisors, whose sum is σ = 864444672. Its totient is φ = 49766400.

The previous prime is 228138289. The next prime is 228138307. The reversal of 228138300 is 3831822.

228138300 is a `hidden beast` number, since 2 + 281 + 383 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228138307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6165882 + ... + 6165918.

Almost surely, 2^228138300 is an apocalyptic number.

228138300 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 228138300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

228138300 is an abundant number, since it is smaller than the sum of its proper divisors (636306372).

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

228138300 is a wasteful number, since it uses less digits than its factorization.

228138300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 228138300 is about 15104.2477469088. The cubic root of 228138300 is about 611.0349714751.

It can be divided in two parts, 22813 and 8300, that added together give a palindrome (31113).

The spelling of 228138300 in words is "two hundred twenty-eight million, one hundred thirty-eight thousand, three hundred".