222022263961800 has 384 divisors, whose sum is σ = 783487978560000. Its totient is φ = 57755080857600.

The previous prime is 222022263961793. The next prime is 222022263961819. The reversal of 222022263961800 is 8169362220222.

222022263961800 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 2 + 2 + 2 + 639 + 6 + 1 + 8 + 0 + 0 = 666.

It is a super-4 number, since 4×222022263961800⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2036604094 + ... + 2036713106.

It is an arithmetic number, because the mean of its divisors is an integer number (2040333277500).

Almost surely, 2^{222022263961800} is an apocalyptic number.

222022263961800 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 222022263961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391743989280000).

222022263961800 is an abundant number, since it is smaller than the sum of its proper divisors (561465714598200).

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

222022263961800 is a wasteful number, since it uses less digits than its factorization.

222022263961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118278 (or 118263 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 222022263961800 in words is "two hundred twenty-two trillion, twenty-two billion, two hundred sixty-three million, nine hundred sixty-one thousand, eight hundred".