225891666 has 240 divisors, whose sum is σ = 695217600. Its totient is φ = 53887680.

The previous prime is 225891661. The next prime is 225891667. The reversal of 225891666 is 666198522.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225891661) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1135035 + ... + 1135233.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^225891666 is an apocalyptic number.

225891666 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225891666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347608800).

225891666 is an abundant number, since it is smaller than the sum of its proper divisors (469325934).

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

225891666 is a wasteful number, since it uses less digits than its factorization.

225891666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 225891666 is about 15029.6928112320. The cubic root of 225891666 is about 609.0225913141.

The spelling of 225891666 in words is "two hundred twenty-five million, eight hundred ninety-one thousand, six hundred sixty-six".