Base | Representation |
---|---|
bin | 10100100000101000… |
… | …111000101001000000 |
3 | 2002211210002010000000 |
4 | 110200220320221000 |
5 | 330100220101102 |
6 | 14041133000000 |
7 | 1406510345100 |
oct | 244050705100 |
9 | 62753063000 |
10 | 22022425152 |
11 | 93810a2a72 |
12 | 4327323000 |
13 | 20cc6a4200 |
14 | 10ccb3b200 |
15 | 88d5ad01c |
hex | 520a38a40 |
22022425152 has 1008 divisors, whose sum is σ = 86902747200. Its totient is φ = 5502422016.
The previous prime is 22022425151. The next prime is 22022425153. The reversal of 22022425152 is 25152422022.
22022425152 = 1833 + 1843 + ... + 5463.
It is a happy number.
22022425152 is a `hidden beast` number, since 220 + 2 + 2 + 425 + 15 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (22022425151) and next prime (22022425153).
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (22022425151) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1159074999 + ... + 1159075017.
Almost surely, 222022425152 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 22022425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43451373600).
22022425152 is an abundant number, since it is smaller than the sum of its proper divisors (64880322048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22022425152 is an equidigital number, since it uses as much as digits as its factorization.
22022425152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92 (or 44 counting only the distinct ones).
The product of its (nonzero) digits is 6400, while the sum is 27.
Adding to 22022425152 its reverse (25152422022), we get a palindrome (47174847174).
The spelling of 22022425152 in words is "twenty-two billion, twenty-two million, four hundred twenty-five thousand, one hundred fifty-two".
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