222528308772000 has 4608 divisors, whose sum is σ = 997362764955648. Its totient is φ = 42464378880000.

The previous prime is 222528308771959. The next prime is 222528308772037. The reversal of 222528308772000 is 277803825222.

It is a happy number.

222528308772000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2294106275952 + ... + 2294106276048.

It is an arithmetic number, because the mean of its divisors is an integer number (216441572256).

Almost surely, 2^{222528308772000} is an apocalyptic number.

222528308772000 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 222528308772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498681382477824).

222528308772000 is an abundant number, since it is smaller than the sum of its proper divisors (774834456183648).

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

222528308772000 is a wasteful number, since it uses less digits than its factorization.

222528308772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 222528308772000 in words is "two hundred twenty-two trillion, five hundred twenty-eight billion, three hundred eight million, seven hundred seventy-two thousand".