228897600 has 168 divisors, whose sum is σ = 769132320. Its totient is φ = 59566080.

The previous prime is 228897589. The next prime is 228897607. The reversal of 228897600 is 6798822.

It is a happy number.

It is a super-2 number, since 2×228897600² = 104788222571520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228897607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205846 + ... + 206954.

Almost surely, 2^228897600 is an apocalyptic number.

228897600 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 228897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384566160).

228897600 is an abundant number, since it is smaller than the sum of its proper divisors (540234720).

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

228897600 is a wasteful number, since it uses less digits than its factorization.

228897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 228897600 is about 15129.3621808720. The cubic root of 228897600 is about 611.7121120234.

The spelling of 228897600 in words is "two hundred twenty-eight million, eight hundred ninety-seven thousand, six hundred".