222245659050240 has 1152 divisors, whose sum is σ = 838774277010432. Its totient is φ = 49105820712960.

The previous prime is 222245659050227. The next prime is 222245659050353. The reversal of 222245659050240 is 42050956542222.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 222245659050240.

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 127 ways as a sum of consecutive naturals, for example, 35071112352 + ... + 35071118688.

It is an arithmetic number, because the mean of its divisors is an integer number (728102671016).

Almost surely, 2^{222245659050240} is an apocalyptic number.

222245659050240 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 222245659050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419387138505216).

222245659050240 is an abundant number, since it is smaller than the sum of its proper divisors (616528617960192).

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

222245659050240 is a wasteful number, since it uses less digits than its factorization.

222245659050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 222245659050240 in words is "two hundred twenty-two trillion, two hundred forty-five billion, six hundred fifty-nine million, fifty thousand, two hundred forty".