22145905920 has 144 divisors (see below), whose sum is σ = 70789279680. Its totient is φ = 5900500992.

The previous prime is 22145905919. The next prime is 22145905921. The reversal of 22145905920 is 2950954122.

It is an interprime number because it is at equal distance from previous prime (22145905919) and next prime (22145905921).

It is a super-2 number, since 2×22145905920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145905921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7167736 + ... + 7170824.

It is an arithmetic number, because the mean of its divisors is an integer number (491592220).

Almost surely, 2^22145905920 is an apocalyptic number.

22145905920 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 22145905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35394639840).

22145905920 is an abundant number, since it is smaller than the sum of its proper divisors (48643373760).

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

22145905920 is a wasteful number, since it uses less digits than its factorization.

22145905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 22145905920 in words is "twenty-two billion, one hundred forty-five million, nine hundred five thousand, nine hundred twenty".