225570420 has 60 divisors (see below), whose sum is σ = 707627844. Its totient is φ = 60151680.

The previous prime is 225570419. The next prime is 225570431. The reversal of 225570420 is 24075522.

It can be written as a sum of positive squares in 2 ways, for example, as 159668496 + 65901924 = 12636^2 + 8118^2 .

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

It is a super-4 number, since 4×225570420⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68001 + ... + 71240.

Almost surely, 2^225570420 is an apocalyptic number.

225570420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225570420 is an abundant number, since it is smaller than the sum of its proper divisors (482057424).

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

225570420 is a wasteful number, since it uses less digits than its factorization.

225570420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139262 (or 139251 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 225570420 is about 15019.0019641786. The cubic root of 225570420 is about 608.7337524318.

The spelling of 225570420 in words is "two hundred twenty-five million, five hundred seventy thousand, four hundred twenty".