222442355520 has 1344 divisors, whose sum is σ = 1002039607296. Its totient is φ = 45625835520.

The previous prime is 222442355507. The next prime is 222442355521. The reversal of 222442355520 is 25553244222.

222442355520 is a `hidden beast` number, since 2 + 22 + 44 + 23 + 55 + 520 = 666.

222442355520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222442355521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 580789249 + ... + 580789631.

It is an arithmetic number, because the mean of its divisors is an integer number (745565184).

Almost surely, 2^222442355520 is an apocalyptic number.

222442355520 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 222442355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501019803648).

222442355520 is an abundant number, since it is smaller than the sum of its proper divisors (779597251776).

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

222442355520 is a wasteful number, since it uses less digits than its factorization.

222442355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 222442355520 its reverse (25553244222), we get a palindrome (247995599742).

It can be divided in two parts, 22244 and 2355520, that added together give a square (2377764 = 1542²).

The spelling of 222442355520 in words is "two hundred twenty-two billion, four hundred forty-two million, three hundred fifty-five thousand, five hundred twenty".