Base | Representation |
---|---|
bin | 10100101011001111… |
… | …110111000001110100 |
3 | 2010022011222220020120 |
4 | 110223033313001310 |
5 | 330431301224244 |
6 | 14110531531540 |
7 | 1414101260004 |
oct | 245317670164 |
9 | 63264886216 |
10 | 22200414324 |
11 | 9462611960 |
12 | 4376a59bb0 |
13 | 212a522a4a |
14 | 1108630004 |
15 | 89e01a819 |
hex | 52b3f7074 |
22200414324 has 96 divisors (see below), whose sum is σ = 57057509376. Its totient is φ = 6662436480.
The previous prime is 22200414323. The next prime is 22200414349. The reversal of 22200414324 is 42341400222.
It is a junction number, because it is equal to n+sod(n) for n = 22200414294 and 22200414303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22200414323) 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 31 ways as a sum of consecutive naturals, for example, 14868922 + ... + 14870414.
It is an arithmetic number, because the mean of its divisors is an integer number (594349056).
Almost surely, 222200414324 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 22200414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28528754688).
22200414324 is an abundant number, since it is smaller than the sum of its proper divisors (34857095052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22200414324 is a wasteful number, since it uses less digits than its factorization.
22200414324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2525 (or 2523 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
Adding to 22200414324 its reverse (42341400222), we get a palindrome (64541814546).
It can be divided in two parts, 222004 and 14324, that added together give a triangular number (236328 = T687).
The spelling of 22200414324 in words is "twenty-two billion, two hundred million, four hundred fourteen thousand, three hundred twenty-four".
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