Base | Representation |
---|---|
bin | 10100100000101011… |
… | …001010111000010000 |
3 | 2002211211012112122220 |
4 | 110200223022320100 |
5 | 330100343233034 |
6 | 14041153501040 |
7 | 1406515421322 |
oct | 244053127020 |
9 | 62754175586 |
10 | 22023024144 |
11 | 9381472000 |
12 | 4327571780 |
13 | 20cc853a44 |
14 | 10ccc55612 |
15 | 88d67a749 |
hex | 520acae10 |
22023024144 has 160 divisors (see below), whose sum is σ = 63215918208. Its totient is φ = 6605632000.
The previous prime is 22023024109. The next prime is 22023024173. The reversal of 22023024144 is 44142032022.
It is a super-4 number, since 4×220230241444 (a number of 42 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6450982 + ... + 6454394.
Almost surely, 222023024144 is an apocalyptic number.
22023024144 is a gapful number since it is divisible by the number (24) 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 22023024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31607959104).
22023024144 is an abundant number, since it is smaller than the sum of its proper divisors (41192894064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22023024144 is a wasteful number, since it uses less digits than its factorization.
22023024144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3558 (or 3530 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
Adding to 22023024144 its reverse (44142032022), we get a palindrome (66165056166).
The spelling of 22023024144 in words is "twenty-two billion, twenty-three million, twenty-four thousand, one hundred forty-four".
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