222217667202672 has 120 divisors (see below), whose sum is σ = 649019536948224. Its totient is φ = 70843325807232.

The previous prime is 222217667202667. The next prime is 222217667202677. The reversal of 222217667202672 is 276202766712222.

222217667202672 is a `hidden beast` number, since 22 + 221 + 76 + 6 + 72 + 0 + 267 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (222217667202667) and next prime (222217667202677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222217667202677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22941433 + ... + 31156775.

Almost surely, 2^{222217667202672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222217667202672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324509768474112).

222217667202672 is an abundant number, since it is smaller than the sum of its proper divisors (426801869745552).

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

222217667202672 is a wasteful number, since it uses less digits than its factorization.

222217667202672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223547 (or 8223538 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 222217667202672 in words is "two hundred twenty-two trillion, two hundred seventeen billion, six hundred sixty-seven million, two hundred two thousand, six hundred seventy-two".