229802400 has 144 divisors (see below), whose sum is σ = 831196800. Its totient is φ = 61274880.

The previous prime is 229802399. The next prime is 229802423. The reversal of 229802400 is 4208922.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16281 + ... + 26919.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^229802400 is an apocalyptic number.

229802400 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 229802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415598400).

229802400 is an abundant number, since it is smaller than the sum of its proper divisors (601394400).

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

229802400 is a wasteful number, since it uses less digits than its factorization.

229802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 229802400 is about 15159.2348091848. The cubic root of 229802400 is about 612.5170563069.

The spelling of 229802400 in words is "two hundred twenty-nine million, eight hundred two thousand, four hundred".