22102080 has 448 divisors, whose sum is σ = 98316288. Its totient is φ = 4055040.

The previous prime is 22102063. The next prime is 22102097. The reversal of 22102080 is 8020122.

It is an interprime number because it is at equal distance from previous prime (22102063) and next prime (22102097).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960949 + ... + 960971.

It is an arithmetic number, because the mean of its divisors is an integer number (219456).

Almost surely, 2^22102080 is an apocalyptic number.

22102080 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 22102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49158144).

22102080 is an abundant number, since it is smaller than the sum of its proper divisors (76214208).

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

22102080 is a wasteful number, since it uses less digits than its factorization.

22102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 22102080 is about 4701.2849307397. The cubic root of 22102080 is about 280.6366465736.

The spelling of 22102080 in words is "twenty-two million, one hundred two thousand, eighty".