Base | Representation |
---|---|
bin | 1010000011110101011110… |
… | …10101011111101011110000 |
3 | 2220022211210211112021221102 |
4 | 11001322233111133223300 |
5 | 10344421400421101000 |
6 | 115014414524143532 |
7 | 4442156233552532 |
oct | 501725725375360 |
9 | 86284724467842 |
10 | 22122023222000 |
11 | 7059996430639 |
12 | 2593490997ba8 |
13 | c46136c4a640 |
14 | 5669d6a35852 |
15 | 2856a07673d5 |
hex | 141eaf55faf0 |
22122023222000 has 640 divisors, whose sum is σ = 60097103539200. Its totient is φ = 7823278080000.
The previous prime is 22122023221997. The next prime is 22122023222009. The reversal of 22122023222000 is 22232022122.
It is a super-2 number, since 2×221220232220002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22122023222009) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21088677476 + ... + 21088678524.
It is an arithmetic number, because the mean of its divisors is an integer number (93901724280).
Almost surely, 222122023222000 is an apocalyptic number.
22122023222000 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 22122023222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30048551769600).
22122023222000 is an abundant number, since it is smaller than the sum of its proper divisors (37975080317200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122023222000 is a wasteful number, since it uses less digits than its factorization.
22122023222000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1470 (or 1454 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
Adding to 22122023222000 its reverse (22232022122), we get a palindrome (22144255244122).
The spelling of 22122023222000 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-three million, two hundred twenty-two thousand".
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