229020825600 has 1800 divisors, whose sum is σ = 1032583832280. Its totient is φ = 50071633920.

The previous prime is 229020825557. The next prime is 229020825617. The reversal of 229020825600 is 6528020922.

229020825600 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 20 + 8 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 9957427189 + ... + 9957427211.

Almost surely, 2^229020825600 is an apocalyptic number.

229020825600 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 229020825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516291916140).

229020825600 is an abundant number, since it is smaller than the sum of its proper divisors (803563006680).

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

229020825600 is an frugal number, since it uses more digits than its factorization.

229020825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 229020825600 in words is "two hundred twenty-nine billion, twenty million, eight hundred twenty-five thousand, six hundred".