22221745920 has 216 divisors, whose sum is σ = 83874943152. Its totient is φ = 5387059200.

The previous prime is 22221745919. The next prime is 22221745921. The reversal of 22221745920 is 2954712222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22221745919) and next prime (22221745921).

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 (22221745921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39040 + ... + 214400.

It is an arithmetic number, because the mean of its divisors is an integer number (388309922).

Almost surely, 2^22221745920 is an apocalyptic number.

22221745920 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 22221745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41937471576).

22221745920 is an abundant number, since it is smaller than the sum of its proper divisors (61653197232).

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

22221745920 is a wasteful number, since it uses less digits than its factorization.

22221745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175399 (or 175382 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22221745920 in words is "twenty-two billion, two hundred twenty-one million, seven hundred forty-five thousand, nine hundred twenty".