2229600 has 72 divisors (see below), whose sum is σ = 7265160. Its totient is φ = 593920.

The previous prime is 2229599. The next prime is 2229653. The reversal of 2229600 is 69222.

It is a happy number.

It is a super-2 number, since 2×2229600² = 9942232320000, which contains 22 as substring.

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, 1936 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (100905).

2^2229600 is an apocalyptic number.

2229600 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 2229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632580).

2229600 is an abundant number, since it is smaller than the sum of its proper divisors (5035560).

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

2229600 is a wasteful number, since it uses less digits than its factorization.

2229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2229600 is about 1493.1845163944. The cubic root of 2229600 is about 130.6398436311.

The spelling of 2229600 in words is "two million, two hundred twenty-nine thousand, six hundred".