229466952000 has 3584 divisors, whose sum is σ = 1150300569600. Its totient is φ = 43794432000.

The previous prime is 229466951963. The next prime is 229466952031. The reversal of 229466952000 is 259664922.

229466952000 is a `hidden beast` number, since 2 + 29 + 46 + 69 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 9976823989 + ... + 9976824011.

It is an arithmetic number, because the mean of its divisors is an integer number (320954400).

Almost surely, 2^229466952000 is an apocalyptic number.

229466952000 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 229466952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575150284800).

229466952000 is an abundant number, since it is smaller than the sum of its proper divisors (920833617600).

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

229466952000 is a wasteful number, since it uses less digits than its factorization.

229466952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 229466952000 in words is "two hundred twenty-nine billion, four hundred sixty-six million, nine hundred fifty-two thousand".