229293136800 has 2304 divisors, whose sum is σ = 1088570327040. Its totient is φ = 45287424000.

The previous prime is 229293136759. The next prime is 229293136811. The reversal of 229293136800 is 8631392922.

It is a happy number.

229293136800 is a `hidden beast` number, since 229 + 293 + 136 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3229480765 + ... + 3229480835.

It is an arithmetic number, because the mean of its divisors is an integer number (472469760).

Almost surely, 2^229293136800 is an apocalyptic number.

229293136800 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 229293136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544285163520).

229293136800 is an abundant number, since it is smaller than the sum of its proper divisors (859277190240).

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

229293136800 is a wasteful number, since it uses less digits than its factorization.

229293136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 229293136800 in words is "two hundred twenty-nine billion, two hundred ninety-three million, one hundred thirty-six thousand, eight hundred".