Base | Representation |
---|---|
bin | 101010111000… |
… | …0110101000000 |
3 | 1120022012211120 |
4 | 1111300311000 |
5 | 21223412430 |
6 | 2121512240 |
7 | 362044614 |
oct | 125606500 |
9 | 46265746 |
10 | 22482240 |
11 | 11766270 |
12 | 7642680 |
13 | 4872201 |
14 | 2db3344 |
15 | 1e91610 |
hex | 1570d40 |
22482240 has 112 divisors (see below), whose sum is σ = 77906880. Its totient is φ = 5447680.
The previous prime is 22482233. The next prime is 22482241. The reversal of 22482240 is 4228422.
It is a super-2 number, since 2×224822402 = 1010902230835200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 22482240.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22482241) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9496 + ... + 11624.
Almost surely, 222482240 is an apocalyptic number.
22482240 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 22482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38953440).
22482240 is an abundant number, since it is smaller than the sum of its proper divisors (55424640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22482240 is a wasteful number, since it uses less digits than its factorization.
22482240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2160 (or 2150 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
The square root of 22482240 is about 4741.5440523104. The cubic root of 22482240 is about 282.2365100015.
It can be divided in two parts, 22482 and 240, that added together give a palindrome (22722).
The spelling of 22482240 in words is "twenty-two million, four hundred eighty-two thousand, two hundred forty".
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