228345600 has 216 divisors, whose sum is σ = 861750400. Its totient is φ = 52162560.

The previous prime is 228345589. The next prime is 228345617. The reversal of 228345600 is 6543822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133551 + ... + 135249.

Almost surely, 2^228345600 is an apocalyptic number.

228345600 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 228345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430875200).

228345600 is an abundant number, since it is smaller than the sum of its proper divisors (633404800).

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

228345600 is a wasteful number, since it uses less digits than its factorization.

228345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 228345600 is about 15111.1084967318. The cubic root of 228345600 is about 611.2199896608.

The spelling of 228345600 in words is "two hundred twenty-eight million, three hundred forty-five thousand, six hundred".