Base | Representation |
---|---|
bin | 101011010110… |
… | …0101001100000 |
3 | 1120202122221112 |
4 | 1112230221200 |
5 | 21304233024 |
6 | 2131042452 |
7 | 364115150 |
oct | 126545140 |
9 | 46678845 |
10 | 22727264 |
11 | 1191336a |
12 | 7740428 |
13 | 49298b1 |
14 | 3038760 |
15 | 1ede00e |
hex | 15aca60 |
22727264 has 48 divisors (see below), whose sum is σ = 51470496. Its totient is φ = 9676800.
The previous prime is 22727261. The next prime is 22727267. The reversal of 22727264 is 46272722.
It is an interprime number because it is at equal distance from previous prime (22727261) and next prime (22727267).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 22727264.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22727261) 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 7 ways as a sum of consecutive naturals, for example, 53774 + ... + 54194.
It is an arithmetic number, because the mean of its divisors is an integer number (1072302).
Almost surely, 222727264 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 22727264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25735248).
22727264 is an abundant number, since it is smaller than the sum of its proper divisors (28743232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22727264 is a wasteful number, since it uses less digits than its factorization.
22727264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 679 (or 671 counting only the distinct ones).
The product of its digits is 18816, while the sum is 32.
The square root of 22727264 is about 4767.3120309038. The cubic root of 22727264 is about 283.2581312143.
Adding to 22727264 its reverse (46272722), we get a palindrome (68999986).
The spelling of 22727264 in words is "twenty-two million, seven hundred twenty-seven thousand, two hundred sixty-four".
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