225620892 has 216 divisors, whose sum is σ = 711075456. Its totient is φ = 60008256.

The previous prime is 225620887. The next prime is 225620893. The reversal of 225620892 is 298026522.

225620892 is a `hidden beast` number, since 2 + 2 + 562 + 0 + 8 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225620893) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2718283 + ... + 2718365.

It is an arithmetic number, because the mean of its divisors is an integer number (3292016).

Almost surely, 2^225620892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225620892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355537728).

225620892 is an abundant number, since it is smaller than the sum of its proper divisors (485454564).

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

225620892 is a wasteful number, since it uses less digits than its factorization.

225620892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 225620892 is about 15020.6821416339. The cubic root of 225620892 is about 608.7791509947.

The spelling of 225620892 in words is "two hundred twenty-five million, six hundred twenty thousand, eight hundred ninety-two".