228218900 has 144 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 69811200.

The previous prime is 228218867. The next prime is 228218917. The reversal of 228218900 is 9812822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281696 + ... + 282504.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^228218900 is an apocalyptic number.

228218900 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 228218900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

228218900 is an abundant number, since it is smaller than the sum of its proper divisors (401740780).

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

228218900 is a wasteful number, since it uses less digits than its factorization.

228218900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 228218900 is about 15106.9156349005. The cubic root of 228218900 is about 611.1069214283.

The spelling of 228218900 in words is "two hundred twenty-eight million, two hundred eighteen thousand, nine hundred".