229512400 has 240 divisors, whose sum is σ = 658707840. Its totient is φ = 76032000.

The previous prime is 229512397. The next prime is 229512403. The reversal of 229512400 is 4215922.

It is an interprime number because it is at equal distance from previous prime (229512397) and next prime (229512403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229512403) 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 47 ways as a sum of consecutive naturals, for example, 2272350 + ... + 2272450.

It is an arithmetic number, because the mean of its divisors is an integer number (2744616).

Almost surely, 2^229512400 is an apocalyptic number.

229512400 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 229512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329353920).

229512400 is an abundant number, since it is smaller than the sum of its proper divisors (429195440).

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

229512400 is a wasteful number, since it uses less digits than its factorization.

229512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 229512400 is about 15149.6666629996. Note that the first 5 decimals coincide. The cubic root of 229512400 is about 612.2592917825.

The spelling of 229512400 in words is "two hundred twenty-nine million, five hundred twelve thousand, four hundred".