225222266880 has 1664 divisors, whose sum is σ = 970967692800. Its totient is φ = 48922361856.

The previous prime is 225222266851. The next prime is 225222266887. The reversal of 225222266880 is 88662222522.

225222266880 is a `hidden beast` number, since 22 + 522 + 2 + 26 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225222266887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2321878992 + ... + 2321879088.

Almost surely, 2^225222266880 is an apocalyptic number.

225222266880 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 225222266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485483846400).

225222266880 is an abundant number, since it is smaller than the sum of its proper divisors (745745425920).

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

225222266880 is a wasteful number, since it uses less digits than its factorization.

225222266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 225222266880 in words is "two hundred twenty-five billion, two hundred twenty-two million, two hundred sixty-six thousand, eight hundred eighty".