222301322000 has 160 divisors (see below), whose sum is σ = 541057986144. Its totient is φ = 88338432000.

The previous prime is 222301321943. The next prime is 222301322027. The reversal of 222301322000 is 223103222.

It can be written as a sum of positive squares in 16 ways, for example, as 220043551744 + 2257770256 = 469088^2 + 47516^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222301322000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330313664 + ... + 330314336.

Almost surely, 2^222301322000 is an apocalyptic number.

222301322000 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 222301322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270528993072).

222301322000 is an abundant number, since it is smaller than the sum of its proper divisors (318756664144).

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

222301322000 is a wasteful number, since it uses less digits than its factorization.

222301322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 222301322000 its reverse (223103222), we get a palindrome (222524425222).

The spelling of 222301322000 in words is "two hundred twenty-two billion, three hundred one million, three hundred twenty-two thousand".