222272001504 has 960 divisors, whose sum is σ = 813404592000. Its totient is φ = 59403165696.

The previous prime is 222272001503. The next prime is 222272001517. The reversal of 222272001504 is 405100272222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222272001503) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 953956972 + ... + 953957204.

It is an arithmetic number, because the mean of its divisors is an integer number (847296450).

Almost surely, 2^222272001504 is an apocalyptic number.

222272001504 is a gapful number since it is divisible by the number (24) 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 222272001504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406702296000).

222272001504 is an abundant number, since it is smaller than the sum of its proper divisors (591132590496).

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

222272001504 is a wasteful number, since it uses less digits than its factorization.

222272001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 222272001504 its reverse (405100272222), we get a palindrome (627372273726).

The spelling of 222272001504 in words is "two hundred twenty-two billion, two hundred seventy-two million, one thousand, five hundred four".