22138480 has 80 divisors (see below), whose sum is σ = 63370944. Its totient is φ = 7004160.

The previous prime is 22138429. The next prime is 22138481. The reversal of 22138480 is 8483122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22138480² = 980224593420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22138481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5760 + ... + 8800.

Almost surely, 2^22138480 is an apocalyptic number.

22138480 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 22138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685472).

22138480 is an abundant number, since it is smaller than the sum of its proper divisors (41232464).

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

22138480 is a wasteful number, since it uses less digits than its factorization.

22138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 22138480 is about 4705.1546202011. The cubic root of 22138480 is about 280.7906225985.

The spelling of 22138480 in words is "twenty-two million, one hundred thirty-eight thousand, four hundred eighty".