Base | Representation |
---|---|
bin | 110000000000000101011101… |
… | …1100110011101011111010000 |
3 | 2001100222020110121222121001100 |
4 | 1200000022323212131133100 |
5 | 420320210131310002344 |
6 | 4053555042034104400 |
7 | 154635456225423126 |
oct | 14000127346353720 |
9 | 2040866417877040 |
10 | 422224202422224 |
11 | 1125963079a5754 |
12 | 3b431a6711b100 |
13 | 15179757605cc7 |
14 | 7639a908c5916 |
15 | 33c304908e569 |
hex | 18002bb99d7d0 |
422224202422224 has 120 divisors (see below), whose sum is σ = 1201838370501600. Its totient is φ = 138336471463680.
The previous prime is 422224202422219. The next prime is 422224202422241.
422224202422224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 2 + 4 + 2 + 0 + 2 + 422 + 224 = 666.
422224202422224 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4222242024222242 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56902719 + ... + 63893409.
It is an arithmetic number, because the mean of its divisors is an integer number (10015319754180).
Almost surely, 2422224202422224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 422224202422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600919185250800).
422224202422224 is an abundant number, since it is smaller than the sum of its proper divisors (779614168079376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422224202422224 is a wasteful number, since it uses less digits than its factorization.
422224202422224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6997873 (or 6997864 counting only the distinct ones).
The product of its (nonzero) digits is 262144, while the sum is 36.
It can be divided in two parts, 42222420 and 2422224, that added together give a palindrome (44644644).
The spelling of 422224202422224 in words is "four hundred twenty-two trillion, two hundred twenty-four billion, two hundred two million, four hundred twenty-two thousand, two hundred twenty-four".
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