422215202512224 has 216 divisors, whose sum is σ = 1397381970970440. Its totient is φ = 120417882900480.

The previous prime is 422215202512189. The next prime is 422215202512283.

422215202512224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 1 + 520 + 2 + 5 + 122 + 2 + 4 = 666.

422215202512224 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 355757854 + ... + 356942685.

It is an arithmetic number, because the mean of its divisors is an integer number (6469360976715).

Almost surely, 2^{422215202512224} is an apocalyptic number.

422215202512224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422215202512224 is an abundant number, since it is smaller than the sum of its proper divisors (975166768458216).

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

422215202512224 is a wasteful number, since it uses less digits than its factorization.

422215202512224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712700594 (or 712700572 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 42221520 and 2512224, that added together give a palindrome (44733744).

The spelling of 422215202512224 in words is "four hundred twenty-two trillion, two hundred fifteen billion, two hundred two million, five hundred twelve thousand, two hundred twenty-four".