Base | Representation |
---|---|
bin | 101011011011… |
… | …1100100110000 |
3 | 1120211221100000 |
4 | 1112313210300 |
5 | 21312201031 |
6 | 2132030000 |
7 | 364362501 |
oct | 126674460 |
9 | 46757300 |
10 | 22772016 |
11 | 11943a53 |
12 | 7762300 |
13 | 4944087 |
14 | 304aba8 |
15 | 1eec3e6 |
hex | 15b7930 |
22772016 has 60 divisors (see below), whose sum is σ = 66101672. Its totient is φ = 7589376.
The previous prime is 22771997. The next prime is 22772021. The reversal of 22772016 is 61027722.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 11 ways as a sum of consecutive naturals, for example, 960 + ... + 6816.
Almost surely, 222772016 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 22772016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33050836).
22772016 is an abundant number, since it is smaller than the sum of its proper divisors (43329656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22772016 is an equidigital number, since it uses as much as digits as its factorization.
22772016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5880 (or 5862 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 27.
The square root of 22772016 is about 4772.0033528907. The cubic root of 22772016 is about 283.4439294503.
Adding to 22772016 its reverse (61027722), we get a palindrome (83799738).
The spelling of 22772016 in words is "twenty-two million, seven hundred seventy-two thousand, sixteen".
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