222233776128 has 624 divisors, whose sum is σ = 815935783936. Its totient is φ = 56693882880.

The previous prime is 222233776103. The next prime is 222233776133. The reversal of 222233776128 is 821677332222.

222233776128 is a `hidden beast` number, since 2 + 2 + 2 + 23 + 3 + 7 + 7 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×222233776128² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103992276 + ... + 103994412.

Almost surely, 2^222233776128 is an apocalyptic number.

222233776128 is a gapful number since it is divisible by the number (28) 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 222233776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407967891968).

222233776128 is an abundant number, since it is smaller than the sum of its proper divisors (593702007808).

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

222233776128 is a wasteful number, since it uses less digits than its factorization.

222233776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2193 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 222233776128 in words is "two hundred twenty-two billion, two hundred thirty-three million, seven hundred seventy-six thousand, one hundred twenty-eight".