22201920 has 168 divisors, whose sum is σ = 82378296. Its totient is φ = 5455872.

The previous prime is 22201909. The next prime is 22201931. The reversal of 22201920 is 2910222.

It is an interprime number because it is at equal distance from previous prime (22201909) and next prime (22201931).

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 21455424 = 864^2 + 4632^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22201893 and 22201902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37144 + ... + 37736.

It is an arithmetic number, because the mean of its divisors is an integer number (490347).

Almost surely, 2^22201920 is an apocalyptic number.

22201920 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 22201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41189148).

22201920 is an abundant number, since it is smaller than the sum of its proper divisors (60176376).

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

22201920 is a wasteful number, since it uses less digits than its factorization.

22201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22201920 is about 4711.8913400035. The cubic root of 22201920 is about 281.0585778935.

The spelling of 22201920 in words is "twenty-two million, two hundred one thousand, nine hundred twenty".