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422311113224 = 2371113193079041
BaseRepresentation
bin1100010010100111011…
…01000011001000001000
31111101001120212100120122
412021103231003020020
523404343121110344
6522001304442412
742340156143230
oct6112355031010
91441046770518
10422311113224
11153112682a50
1269a1b179408
1330a92a7c5a0
14166233aacc0
15aeba4cdaee
hex6253b43208

422311113224 has 256 divisors, whose sum is σ = 1122886195200. Its totient is φ = 143401881600.

The previous prime is 422311113223. The next prime is 422311113271.

It is a happy number.

422311113224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 422311113193 and 422311113202.

It is not an unprimeable number, because it can be changed into a prime (422311113221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46706144 + ... + 46715184.

It is an arithmetic number, because the mean of its divisors is an integer number (4386274200).

Almost surely, 2422311113224 is an apocalyptic number.

422311113224 is a gapful number since it is divisible by the number (44) 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 422311113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561443097600).

422311113224 is an abundant number, since it is smaller than the sum of its proper divisors (700575081976).

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

422311113224 is a wasteful number, since it uses less digits than its factorization.

422311113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9404 (or 9400 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 422311 and 113224, that added together give a palindrome (535535).

The spelling of 422311113224 in words is "four hundred twenty-two billion, three hundred eleven million, one hundred thirteen thousand, two hundred twenty-four".