229424400 has 300 divisors, whose sum is σ = 843269812. Its totient is φ = 59719680.

The previous prime is 229424387. The next prime is 229424431. The reversal of 229424400 is 4424922.

229424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4064256 + 225360144 = 2016^2 + 15012^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2365152 + ... + 2365248.

Almost surely, 2^229424400 is an apocalyptic number.

229424400 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 229424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421634906).

229424400 is an abundant number, since it is smaller than the sum of its proper divisors (613845412).

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

229424400 is a wasteful number, since it uses less digits than its factorization.

229424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 229424400 is about 15146.7620302162. The cubic root of 229424400 is about 612.1810306439.

The spelling of 229424400 in words is "two hundred twenty-nine million, four hundred twenty-four thousand, four hundred".