228849600 has 336 divisors, whose sum is σ = 881888000. Its totient is φ = 51932160.

The previous prime is 228849589. The next prime is 228849629. The reversal of 228849600 is 6948822.

It is a tau number, because it is divible by the number of its divisors (336).

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, 1646331 + ... + 1646469.

Almost surely, 2^228849600 is an apocalyptic number.

228849600 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 228849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440944000).

228849600 is an abundant number, since it is smaller than the sum of its proper divisors (653038400).

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

228849600 is a wasteful number, since it uses less digits than its factorization.

228849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 228849600 is about 15127.7757783489. The cubic root of 228849600 is about 611.6693502032.

The spelling of 228849600 in words is "two hundred twenty-eight million, eight hundred forty-nine thousand, six hundred".