229561200 has 540 divisors, whose sum is σ = 957063744. Its totient is φ = 50688000.

The previous prime is 229561193. The next prime is 229561201. The reversal of 229561200 is 2165922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229561201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7405185 + ... + 7405215.

Almost surely, 2^229561200 is an apocalyptic number.

229561200 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 229561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478531872).

229561200 is an abundant number, since it is smaller than the sum of its proper divisors (727502544).

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

229561200 is a wasteful number, since it uses less digits than its factorization.

229561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 229561200 is about 15151.2771738887. The cubic root of 229561200 is about 612.3026825188.

The spelling of 229561200 in words is "two hundred twenty-nine million, five hundred sixty-one thousand, two hundred".