225214020 has 60 divisors (see below), whose sum is σ = 706509804. Its totient is φ = 60056640.

The previous prime is 225214007. The next prime is 225214027. The reversal of 225214020 is 20412522.

It can be written as a sum of positive squares in 2 ways, for example, as 115089984 + 110124036 = 10728^2 + 10494^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 225213984 and 225214002.

It is not an unprimeable number, because it can be changed into a prime (225214027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67891 + ... + 71130.

Almost surely, 2^225214020 is an apocalyptic number.

225214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225214020 is an abundant number, since it is smaller than the sum of its proper divisors (481295784).

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

225214020 is a wasteful number, since it uses less digits than its factorization.

225214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139042 (or 139031 counting only the distinct ones).

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

The square root of 225214020 is about 15007.1323043412. The cubic root of 225214020 is about 608.4129847958.

Adding to 225214020 its reverse (20412522), we get a palindrome (245626542).

The spelling of 225214020 in words is "two hundred twenty-five million, two hundred fourteen thousand, twenty".