2225201220 has 240 divisors, whose sum is σ = 7666420608. Its totient is φ = 535818240.

The previous prime is 2225201191. The next prime is 2225201221. The reversal of 2225201220 is 221025222.

2225201220 is a `hidden beast` number, since 2 + 22 + 520 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2225201193 and 2225201202.

It is not an unprimeable number, because it can be changed into a prime (2225201221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3438937 + ... + 3439583.

Almost surely, 2^2225201220 is an apocalyptic number.

2225201220 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 2225201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833210304).

2225201220 is an abundant number, since it is smaller than the sum of its proper divisors (5441219388).

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

2225201220 is a wasteful number, since it uses less digits than its factorization.

2225201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2225201220 is about 47172.0385397960. The cubic root of 2225201220 is about 1305.5387391171.

Adding to 2225201220 its reverse (221025222), we get a palindrome (2446226442).

The spelling of 2225201220 in words is "two billion, two hundred twenty-five million, two hundred one thousand, two hundred twenty".