225012420 has 36 divisors (see below), whose sum is σ = 682538220. Its totient is φ = 60003264.

The previous prime is 225012413. The next prime is 225012433. The reversal of 225012420 is 24210522.

225012420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 167495364 = 7584^2 + 12942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 225012393 and 225012402.

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, 624855 + ... + 625214.

It is an arithmetic number, because the mean of its divisors is an integer number (18959395).

Almost surely, 2^225012420 is an apocalyptic number.

225012420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225012420 is an abundant number, since it is smaller than the sum of its proper divisors (457525800).

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

225012420 is a wasteful number, since it uses less digits than its factorization.

225012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250084 (or 1250079 counting only the distinct ones).

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

The square root of 225012420 is about 15000.4139942870. The cubic root of 225012420 is about 608.2313906031.

Adding to 225012420 its reverse (24210522), we get a palindrome (249222942).

The spelling of 225012420 in words is "two hundred twenty-five million, twelve thousand, four hundred twenty".