22342350400 has 168 divisors, whose sum is σ = 55717683840. Its totient is φ = 8817408000.

The previous prime is 22342350367. The next prime is 22342350409. The reversal of 22342350400 is 405324322.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22342350409) 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, 51838185 + ... + 51838615.

It is an arithmetic number, because the mean of its divisors is an integer number (331652880).

Almost surely, 2^22342350400 is an apocalyptic number.

22342350400 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 22342350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27858841920).

22342350400 is an abundant number, since it is smaller than the sum of its proper divisors (33375333440).

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

22342350400 is a wasteful number, since it uses less digits than its factorization.

22342350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 22342350400 its reverse (405324322), we get a palindrome (22747674722).

The spelling of 22342350400 in words is "twenty-two billion, three hundred forty-two million, three hundred fifty thousand, four hundred".