228283600 has 60 divisors (see below), whose sum is σ = 551425644. Its totient is φ = 90818560.

The previous prime is 228283577. The next prime is 228283609. The reversal of 228283600 is 6382822.

228283600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 394384 + 227889216 = 628^2 + 15096^2 .

It is a super-2 number, since 2×228283600² = 104226804057920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228283609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77352 + ... + 80248.

Almost surely, 2^228283600 is an apocalyptic number.

228283600 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 228283600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275712822).

228283600 is an abundant number, since it is smaller than the sum of its proper divisors (323142044).

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

228283600 is a wasteful number, since it uses less digits than its factorization.

228283600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 228283600 is about 15109.0568865168. The cubic root of 228283600 is about 611.1646655240.

The spelling of 228283600 in words is "two hundred twenty-eight million, two hundred eighty-three thousand, six hundred".