225270640 has 60 divisors (see below), whose sum is σ = 609275736. Its totient is φ = 77234304.

The previous prime is 225270629. The next prime is 225270641. The reversal of 225270640 is 46072522.

It is a super-3 number, since 3×225270640³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 225270599 and 225270608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225270641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24814 + ... + 32653.

Almost surely, 2^225270640 is an apocalyptic number.

225270640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225270640 is an abundant number, since it is smaller than the sum of its proper divisors (384005096).

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

225270640 is a wasteful number, since it uses less digits than its factorization.

225270640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57494 (or 57481 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 225270640 is about 15009.0186221485. The cubic root of 225270640 is about 608.4639666082.

The spelling of 225270640 in words is "two hundred twenty-five million, two hundred seventy thousand, six hundred forty".