2225224100 has 144 divisors (see below), whose sum is σ = 5414861760. Its totient is φ = 786931200.

The previous prime is 2225224039. The next prime is 2225224139. The reversal of 2225224100 is 14225222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8033162 + ... + 8033438.

Almost surely, 2^2225224100 is an apocalyptic number.

2225224100 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 2225224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707430880).

2225224100 is an abundant number, since it is smaller than the sum of its proper divisors (3189637660).

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

2225224100 is a wasteful number, since it uses less digits than its factorization.

2225224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2225224100 is about 47172.2810557217. The cubic root of 2225224100 is about 1305.5432137123.

Adding to 2225224100 its reverse (14225222), we get a palindrome (2239449322).

It can be divided in two parts, 222522 and 4100, that added together give a palindrome (226622).

The spelling of 2225224100 in words is "two billion, two hundred twenty-five million, two hundred twenty-four thousand, one hundred".