22251591000 has 160 divisors (see below), whose sum is σ = 77781955680. Its totient is φ = 5933736000.

The previous prime is 22251590993. The next prime is 22251591001. The reversal of 22251591000 is 19515222.

22251591000 is a `hidden beast` number, since 2 + 22 + 51 + 591 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22251591001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56356 + ... + 218355.

It is an arithmetic number, because the mean of its divisors is an integer number (486137223).

Almost surely, 2^22251591000 is an apocalyptic number.

22251591000 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 22251591000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38890977840).

22251591000 is an abundant number, since it is smaller than the sum of its proper divisors (55530364680).

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

22251591000 is a wasteful number, since it uses less digits than its factorization.

22251591000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274744 (or 274721 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 22251591000 in words is "twenty-two billion, two hundred fifty-one million, five hundred ninety-one thousand".