229622400 has 576 divisors, whose sum is σ = 1006274880. Its totient is φ = 48660480.

The previous prime is 229622399. The next prime is 229622411. The reversal of 229622400 is 4226922.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3427167 + ... + 3427233.

It is an arithmetic number, because the mean of its divisors is an integer number (1747005).

Almost surely, 2^229622400 is an apocalyptic number.

229622400 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 229622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503137440).

229622400 is an abundant number, since it is smaller than the sum of its proper divisors (776652480).

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

229622400 is a wasteful number, since it uses less digits than its factorization.

229622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 229622400 is about 15153.2966710218. The cubic root of 229622400 is about 612.3570900793.

The spelling of 229622400 in words is "two hundred twenty-nine million, six hundred twenty-two thousand, four hundred".