220332222231000 has 512 divisors, whose sum is σ = 791663483520000. Its totient is φ = 50457572352000.

The previous prime is 220332222230963. The next prime is 220332222231091. The reversal of 220332222231000 is 132222233022.

It is a super-2 number, since 2×220332222231000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218319552 + ... + 219326448.

It is an arithmetic number, because the mean of its divisors is an integer number (1546217741250).

Almost surely, 2^{220332222231000} is an apocalyptic number.

220332222231000 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 220332222231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395831741760000).

220332222231000 is an abundant number, since it is smaller than the sum of its proper divisors (571331261289000).

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

220332222231000 is a wasteful number, since it uses less digits than its factorization.

220332222231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007300 (or 1007286 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 220332222231000 its reverse (132222233022), we get a palindrome (220464444464022).

The spelling of 220332222231000 in words is "two hundred twenty trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-one thousand".