229401600 has 264 divisors, whose sum is σ = 791943360. Its totient is φ = 58490880.

The previous prime is 229401589. The next prime is 229401607. The reversal of 229401600 is 6104922.

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 (229401607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227149 + ... + 2227251.

Almost surely, 2^229401600 is an apocalyptic number.

229401600 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 229401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395971680).

229401600 is an abundant number, since it is smaller than the sum of its proper divisors (562541760).

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

229401600 is a wasteful number, since it uses less digits than its factorization.

229401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 229401600 is about 15146.0093754097. The cubic root of 229401600 is about 612.1607506303.

The spelling of 229401600 in words is "two hundred twenty-nine million, four hundred one thousand, six hundred".