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220224222422022 = 237133767990116433
BaseRepresentation
bin110010000100101011110010…
…100011000110010000000110
31001212202020012201010210002010
4302010223302203012100012
5212331123201420001042
62100213340000155050
764246450346435550
oct6204536243062006
91055666181123063
10220224222422022
1164196628361785
1220848b1a608a86
1395b6093c96080
143c54ca2d3a4d0
151a6d80db7359c
hexc84af28c6406

220224222422022 has 256 divisors, whose sum is σ = 565142518499328. Its totient is φ = 55658891059200.

The previous prime is 220224222422021. The next prime is 220224222422081.

220224222422022 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220224222422021) 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 127 ways as a sum of consecutive naturals, for example, 13401331918 + ... + 13401348350.

It is an arithmetic number, because the mean of its divisors is an integer number (2207587962888).

Almost surely, 2220224222422022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220224222422022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282571259249664).

220224222422022 is an abundant number, since it is smaller than the sum of its proper divisors (344918296077306).

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

220224222422022 is a wasteful number, since it uses less digits than its factorization.

220224222422022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26463.

The product of its (nonzero) digits is 32768, while the sum is 30.

The spelling of 220224222422022 in words is "two hundred twenty trillion, two hundred twenty-four billion, two hundred twenty-two million, four hundred twenty-two thousand, twenty-two".