229941200 has 60 divisors (see below), whose sum is σ = 554746860. Its totient is φ = 91591680.

The previous prime is 229941193. The next prime is 229941223. The reversal of 229941200 is 2149922.

It can be written as a sum of positive squares in 6 ways, for example, as 93238336 + 136702864 = 9656^2 + 11692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106532 + ... + 108668.

It is an arithmetic number, because the mean of its divisors is an integer number (9245781).

Almost surely, 2^229941200 is an apocalyptic number.

229941200 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 229941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277373430).

229941200 is an abundant number, since it is smaller than the sum of its proper divisors (324805660).

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

229941200 is a wasteful number, since it uses less digits than its factorization.

229941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 229941200 is about 15163.8121855950. The cubic root of 229941200 is about 612.6403510106.

The spelling of 229941200 in words is "two hundred twenty-nine million, nine hundred forty-one thousand, two hundred".