2225331600 has 120 divisors (see below), whose sum is σ = 7192000992. Its totient is φ = 588134400.

The previous prime is 2225331587. The next prime is 2225331677. The reversal of 2225331600 is 61335222.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127395 + ... + 143805.

Almost surely, 2^2225331600 is an apocalyptic number.

2225331600 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 2225331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596000496).

2225331600 is an abundant number, since it is smaller than the sum of its proper divisors (4966669392).

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

2225331600 is a wasteful number, since it uses less digits than its factorization.

2225331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16545 (or 16534 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2225331600 is about 47173.4204823013. The cubic root of 2225331600 is about 1305.5642368586.

Adding to 2225331600 its reverse (61335222), we get a palindrome (2286666822).

The spelling of 2225331600 in words is "two billion, two hundred twenty-five million, three hundred thirty-one thousand, six hundred".