22822385040 has 1440 divisors, whose sum is σ = 105894472320. Its totient is φ = 4514807808.

The previous prime is 22822385023. The next prime is 22822385041. The reversal of 22822385040 is 4058322822.

It is a super-2 number, since 2×22822385040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22822384986 and 22822385004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22822385041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235282272 + ... + 235282368.

It is an arithmetic number, because the mean of its divisors is an integer number (73537828).

Almost surely, 2^22822385040 is an apocalyptic number.

22822385040 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 22822385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52947236160).

22822385040 is an abundant number, since it is smaller than the sum of its proper divisors (83072087280).

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

22822385040 is a wasteful number, since it uses less digits than its factorization.

22822385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 22822385040 in words is "twenty-two billion, eight hundred twenty-two million, three hundred eighty-five thousand, forty".