229346400 has 72 divisors (see below), whose sum is σ = 746530344. Its totient is φ = 61158400.

The previous prime is 229346399. The next prime is 229346407. The reversal of 229346400 is 4643922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229346407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45381 + ... + 50180.

It is an arithmetic number, because the mean of its divisors is an integer number (10368477).

Almost surely, 2^229346400 is an apocalyptic number.

229346400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229346400 is an abundant number, since it is smaller than the sum of its proper divisors (517183944).

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

229346400 is a wasteful number, since it uses less digits than its factorization.

229346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95584 (or 95571 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 229346400 is about 15144.1870035998. The cubic root of 229346400 is about 612.1116460844. Note that the first 3 decimals are identical.

The spelling of 229346400 in words is "two hundred twenty-nine million, three hundred forty-six thousand, four hundred".