225611640 has 96 divisors (see below), whose sum is σ = 740216880. Its totient is φ = 59590656.

The previous prime is 225611627. The next prime is 225611647. The reversal of 225611640 is 46116522.

225611640 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 11 + 640 = 666.

It is a super-2 number, since 2×225611640² = 101801224206979200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225611647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35592 + ... + 41448.

Almost surely, 2^225611640 is an apocalyptic number.

225611640 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 225611640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370108440).

225611640 is an abundant number, since it is smaller than the sum of its proper divisors (514605240).

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

225611640 is a wasteful number, since it uses less digits than its factorization.

225611640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225611640 is about 15020.3741631159. The cubic root of 225611640 is about 608.7708295110.

The spelling of 225611640 in words is "two hundred twenty-five million, six hundred eleven thousand, six hundred forty".