22314240 has 216 divisors, whose sum is σ = 83701800. Its totient is φ = 5455872.

The previous prime is 22314221. The next prime is 22314247. The reversal of 22314240 is 4241322.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 22127616 = 432^2 + 4704^2 .

It is a super-3 number, since 3×22314240³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22314247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149686 + ... + 149834.

Almost surely, 2^22314240 is an apocalyptic number.

22314240 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 22314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41850900).

22314240 is an abundant number, since it is smaller than the sum of its proper divisors (61387560).

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

22314240 is a wasteful number, since it uses less digits than its factorization.

22314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22314240 is about 4723.7950844633. The cubic root of 22314240 is about 281.5317413759.

Adding to 22314240 its reverse (4241322), we get a palindrome (26555562).

The spelling of 22314240 in words is "twenty-two million, three hundred fourteen thousand, two hundred forty".