222138224640 has 624 divisors, whose sum is σ = 817584992640. Its totient is φ = 55667589120.

The previous prime is 222138224593. The next prime is 222138224641. The reversal of 222138224640 is 46422831222.

222138224640 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 3 + 8 + 2 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×222138224640² (a number of 23 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 = 222138224595 and 222138224604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222138224641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258600531 + ... + 258601389.

It is an arithmetic number, because the mean of its divisors is an integer number (1310232360).

Almost surely, 2^222138224640 is an apocalyptic number.

222138224640 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 222138224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408792496320).

222138224640 is an abundant number, since it is smaller than the sum of its proper divisors (595446768000).

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

222138224640 is a wasteful number, since it uses less digits than its factorization.

222138224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 222138224640 in words is "two hundred twenty-two billion, one hundred thirty-eight million, two hundred twenty-four thousand, six hundred forty".