229765939200 has 1296 divisors, whose sum is σ = 1000526430960. Its totient is φ = 51527024640.

The previous prime is 229765939181. The next prime is 229765939217. The reversal of 229765939200 is 2939567922.

229765939200 is a `hidden beast` number, since 2 + 29 + 7 + 6 + 593 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4335206374 + ... + 4335206426.

It is an arithmetic number, because the mean of its divisors is an integer number (772011135).

Almost surely, 2^229765939200 is an apocalyptic number.

229765939200 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 229765939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500263215480).

229765939200 is an abundant number, since it is smaller than the sum of its proper divisors (770760491760).

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

229765939200 is an frugal number, since it uses more digits than its factorization.

229765939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 229765939200 in words is "two hundred twenty-nine billion, seven hundred sixty-five million, nine hundred thirty-nine thousand, two hundred".