22402240224 has 288 divisors, whose sum is σ = 75667598496. Its totient is φ = 5748019200.

The previous prime is 22402240207. The next prime is 22402240243. The reversal of 22402240224 is 42204220422.

It is a Harshad number since it is a multiple of its sum of digits (24).

22402240224 is a modest number, since divided by 2240224 gives 224 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 22402240194 and 22402240203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2257674 + ... + 2267574.

It is an arithmetic number, because the mean of its divisors is an integer number (262734717).

Almost surely, 2^22402240224 is an apocalyptic number.

22402240224 is a gapful number since it is divisible by the number (24) 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 22402240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37833799248).

22402240224 is an abundant number, since it is smaller than the sum of its proper divisors (53265358272).

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

22402240224 is a wasteful number, since it uses less digits than its factorization.

22402240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22402240224 its reverse (42204220422), we get a palindrome (64606460646).

The spelling of 22402240224 in words is "twenty-two billion, four hundred two million, two hundred forty thousand, two hundred twenty-four".