229124400 has 120 divisors (see below), whose sum is σ = 752024784. Its totient is φ = 59596800.

The previous prime is 229124393. The next prime is 229124407. The reversal of 229124400 is 4421922.

It is an interprime number because it is at equal distance from previous prime (229124393) and next prime (229124407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (229124407) by changing a digit.

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, 46872 + ... + 51528.

Almost surely, 2^229124400 is an apocalyptic number.

229124400 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 229124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376012392).

229124400 is an abundant number, since it is smaller than the sum of its proper divisors (522900384).

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

229124400 is a wasteful number, since it uses less digits than its factorization.

229124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 229124400 is about 15136.8556840580. The cubic root of 229124400 is about 611.9140808086.

The spelling of 229124400 in words is "two hundred twenty-nine million, one hundred twenty-four thousand, four hundred".