222280288776000 has 6720 divisors, whose sum is σ = 1101892087296000. Its totient is φ = 43747651584000.

The previous prime is 222280288775981. The next prime is 222280288776061. The reversal of 222280288776000 is 677882082222.

222280288776000 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 8 + 0 + 28 + 8 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 371085623701 + ... + 371085624299.

It is an arithmetic number, because the mean of its divisors is an integer number (163972036800).

Almost surely, 2^{222280288776000} is an apocalyptic number.

222280288776000 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 222280288776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550946043648000).

222280288776000 is an abundant number, since it is smaller than the sum of its proper divisors (879611798520000).

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

222280288776000 is a wasteful number, since it uses less digits than its factorization.

222280288776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 222280288776000 in words is "two hundred twenty-two trillion, two hundred eighty billion, two hundred eighty-eight million, seven hundred seventy-six thousand".