Base | Representation |
---|---|
bin | 101010011001… |
… | …1110100000000 |
3 | 1112211112000021 |
4 | 1110303310000 |
5 | 21142413240 |
6 | 2112303224 |
7 | 356654155 |
oct | 124636400 |
9 | 45745007 |
10 | 22232320 |
11 | 11605520 |
12 | 7541b14 |
13 | 47b5526 |
14 | 2d4a22c |
15 | 1e4254a |
hex | 1533d00 |
22232320 has 72 divisors (see below), whose sum is σ = 58131360. Its totient is φ = 8079360.
The previous prime is 22232317. The next prime is 22232323. The reversal of 22232320 is 2323222.
It is an interprime number because it is at equal distance from previous prime (22232317) and next prime (22232323).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 22232294 and 22232303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22232323) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13291 + ... + 14869.
It is an arithmetic number, because the mean of its divisors is an integer number (807380).
Almost surely, 222232320 is an apocalyptic number.
22232320 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 22232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29065680).
22232320 is an abundant number, since it is smaller than the sum of its proper divisors (35899040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22232320 is a wasteful number, since it uses less digits than its factorization.
22232320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 16.
The square root of 22232320 is about 4715.1161173401. The cubic root of 22232320 is about 281.1867992969.
Adding to 22232320 its reverse (2323222), we get a palindrome (24555542).
It can be divided in two parts, 2 and 2232320, that added together give a palindrome (2232322).
The spelling of 22232320 in words is "twenty-two million, two hundred thirty-two thousand, three hundred twenty".
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