22448640 has 160 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 5750784.

The previous prime is 22448617. The next prime is 22448663. The reversal of 22448640 is 4684422.

It is an interprime number because it is at equal distance from previous prime (22448617) and next prime (22448663).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22448598 and 22448607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284121 + ... + 284199.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 2^22448640 is an apocalyptic number.

22448640 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 22448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

22448640 is an abundant number, since it is smaller than the sum of its proper divisors (52189440).

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

22448640 is an equidigital number, since it uses as much as digits as its factorization.

22448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 22448640 is about 4737.9995778809. Note that the first 3 decimals coincide. The cubic root of 22448640 is about 282.0958378548.

The spelling of 22448640 in words is "twenty-two million, four hundred forty-eight thousand, six hundred forty".