22245540250400 has 144 divisors (see below), whose sum is σ = 57730548445920. Its totient is φ = 8341424640000.

The previous prime is 22245540250387. The next prime is 22245540250421. The reversal of 22245540250400 is 405204554222.

It is a happy number.

It is a super-2 number, since 2×22245540250400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155231 + ... + 6671969.

It is an arithmetic number, because the mean of its divisors is an integer number (400906586430).

Almost surely, 2^{22245540250400} is an apocalyptic number.

22245540250400 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 22245540250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28865274222960).

22245540250400 is an abundant number, since it is smaller than the sum of its proper divisors (35485008195520).

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

22245540250400 is a wasteful number, since it uses less digits than its factorization.

22245540250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517027 (or 6517014 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The spelling of 22245540250400 in words is "twenty-two trillion, two hundred forty-five billion, five hundred forty million, two hundred fifty thousand, four hundred".