Base | Representation |
---|---|
bin | 101001111101… |
… | …1001100111000 |
3 | 1112101201221010 |
4 | 1103323030320 |
5 | 21113003230 |
6 | 2103313520 |
7 | 355000140 |
oct | 123731470 |
9 | 45351833 |
10 | 22000440 |
11 | 11467290 |
12 | 744b8a0 |
13 | 4733b17 |
14 | 2cc9920 |
15 | 1de89b0 |
hex | 14fb338 |
22000440 has 128 divisors (see below), whose sum is σ = 82321920. Its totient is φ = 4569600.
The previous prime is 22000427. The next prime is 22000441. The reversal of 22000440 is 4400022.
It is a super-3 number, since 3×220004403 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22000441) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8050 + ... + 10430.
It is an arithmetic number, because the mean of its divisors is an integer number (643140).
Almost surely, 222000440 is an apocalyptic number.
22000440 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 22000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160960).
22000440 is an abundant number, since it is smaller than the sum of its proper divisors (60321480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22000440 is a wasteful number, since it uses less digits than its factorization.
22000440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2413 (or 2409 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 22000440 is about 4690.4626637465. The cubic root of 22000440 is about 280.2058010793.
Adding to 22000440 its reverse (4400022), we get a palindrome (26400462).
The spelling of 22000440 in words is "twenty-two million, four hundred forty", and thus it is an aban number.
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