225622501650 has 768 divisors, whose sum is σ = 802698624000. Its totient is φ = 46271554560.

The previous prime is 225622501639. The next prime is 225622501681. The reversal of 225622501650 is 56105226522.

225622501650 is a `hidden beast` number, since 2 + 25 + 622 + 5 + 0 + 1 + 6 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 222726544 + ... + 222727556.

It is an arithmetic number, because the mean of its divisors is an integer number (1045180500).

Almost surely, 2^225622501650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225622501650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401349312000).

225622501650 is an abundant number, since it is smaller than the sum of its proper divisors (577076122350).

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

225622501650 is a wasteful number, since it uses less digits than its factorization.

225622501650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 225622501650 in words is "two hundred twenty-five billion, six hundred twenty-two million, five hundred one thousand, six hundred fifty".