22148880 has 160 divisors (see below), whose sum is σ = 76661760. Its totient is φ = 5253120.

The previous prime is 22148879. The next prime is 22148921. The reversal of 22148880 is 8884122.

22148880 = 131² + 132² + ... + 409².

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96606 + ... + 96834.

It is an arithmetic number, because the mean of its divisors is an integer number (479136).

Almost surely, 2^22148880 is an apocalyptic number.

22148880 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 22148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38330880).

22148880 is an abundant number, since it is smaller than the sum of its proper divisors (54512880).

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

22148880 is a wasteful number, since it uses less digits than its factorization.

22148880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 22148880 is about 4706.2596613447. The cubic root of 22148880 is about 280.8345847452.

The spelling of 22148880 in words is "twenty-two million, one hundred forty-eight thousand, eight hundred eighty".