229298400 has 108 divisors (see below), whose sum is σ = 808588872. Its totient is φ = 61144320.

The previous prime is 229298371. The next prime is 229298423. The reversal of 229298400 is 4892922.

229298400 is a `hidden beast` number, since 229 + 29 + 8 + 400 = 666.

229298400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 8724 + ... + 23123.

It is an arithmetic number, because the mean of its divisors is an integer number (7486934).

Almost surely, 2^229298400 is an apocalyptic number.

229298400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229298400 is an abundant number, since it is smaller than the sum of its proper divisors (579290472).

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

229298400 is a wasteful number, since it uses less digits than its factorization.

229298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31873 (or 31857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 229298400 is about 15142.6021541874. The cubic root of 229298400 is about 612.0689400744.

It can be divided in two parts, 22929 and 8400, that added together give a square (31329 = 177²).

The spelling of 229298400 in words is "two hundred twenty-nine million, two hundred ninety-eight thousand, four hundred".