22141920 has 96 divisors (see below), whose sum is σ = 70422912. Its totient is φ = 5847552.

The previous prime is 22141919. The next prime is 22141921. The reversal of 22141920 is 2914122.

It is an interprime number because it is at equal distance from previous prime (22141919) and next prime (22141921).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78099 + ... + 78381.

It is an arithmetic number, because the mean of its divisors is an integer number (733572).

Almost surely, 2^22141920 is an apocalyptic number.

22141920 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 22141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35211456).

22141920 is an abundant number, since it is smaller than the sum of its proper divisors (48280992).

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

22141920 is a wasteful number, since it uses less digits than its factorization.

22141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 22141920 is about 4705.5201625325. The cubic root of 22141920 is about 280.8051654475.

The spelling of 22141920 in words is "twenty-two million, one hundred forty-one thousand, nine hundred twenty".