22614480 has 180 divisors, whose sum is σ = 88484292. Its totient is φ = 5160960.

The previous prime is 22614479. The next prime is 22614481. The reversal of 22614480 is 8441622.

22614480 is a `hidden beast` number, since 2 + 2 + 614 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22614479) and next prime (22614481).

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 7683984 = 3864^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×22614480² = 1022829411340800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22614481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34960 + ... + 35600.

Almost surely, 2^22614480 is an apocalyptic number.

22614480 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 22614480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44242146).

22614480 is an abundant number, since it is smaller than the sum of its proper divisors (65869812).

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

22614480 is a wasteful number, since it uses less digits than its factorization.

22614480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22614480 is about 4755.4684311853. The cubic root of 22614480 is about 282.7887980401.

It can be divided in two parts, 226 and 14480, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 22614480 in words is "twenty-two million, six hundred fourteen thousand, four hundred eighty".