Base | Representation |
---|---|
bin | 101010111101… |
… | …0110101010100 |
3 | 1120101022001100 |
4 | 1111322311110 |
5 | 21231220340 |
6 | 2122430100 |
7 | 362305236 |
oct | 125726524 |
9 | 46338040 |
10 | 22523220 |
11 | 11794035 |
12 | 7662330 |
13 | 4887a65 |
14 | 2dc4256 |
15 | 1e9d830 |
hex | 157ad54 |
22523220 has 72 divisors (see below), whose sum is σ = 68841864. Its totient is φ = 5960448.
The previous prime is 22523219. The next prime is 22523231. The reversal of 22523220 is 2232522.
It can be written as a sum of positive squares in 4 ways, for example, as 956484 + 21566736 = 978^2 + 4644^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22523193 and 22523202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27862 + ... + 28658.
It is an arithmetic number, because the mean of its divisors is an integer number (956137).
Almost surely, 222523220 is an apocalyptic number.
22523220 is a gapful number since it is divisible by the number (20) 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 22523220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34420932).
22523220 is an abundant number, since it is smaller than the sum of its proper divisors (46318644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22523220 is a wasteful number, since it uses less digits than its factorization.
22523220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 969 (or 964 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 22523220 is about 4745.8634620056. The cubic root of 22523220 is about 282.4078901941.
Adding to 22523220 its reverse (2232522), we get a palindrome (24755742).
The spelling of 22523220 in words is "twenty-two million, five hundred twenty-three thousand, two hundred twenty".
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