Base | Representation |
---|---|
bin | 101010011011… |
… | …0001011010000 |
3 | 1112212000021210 |
4 | 1110312023100 |
5 | 21143221000 |
6 | 2112420120 |
7 | 360024324 |
oct | 124661320 |
9 | 45760253 |
10 | 22242000 |
11 | 11611820 |
12 | 7547640 |
13 | 47b9a61 |
14 | 2d4d984 |
15 | 1e45350 |
hex | 15362d0 |
22242000 has 160 divisors (see below), whose sum is σ = 78459264. Its totient is φ = 5376000.
The previous prime is 22241987. The next prime is 22242019. The reversal of 22242000 is 24222.
It is a happy number.
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 an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 65832 + ... + 66168.
Almost surely, 222242000 is an apocalyptic number.
22242000 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 22242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39229632).
22242000 is an abundant number, since it is smaller than the sum of its proper divisors (56217264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22242000 is a wasteful number, since it uses less digits than its factorization.
22242000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 374 (or 358 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 22242000 is about 4716.1424914860. The cubic root of 22242000 is about 281.2276031548.
Adding to 22242000 its reverse (24222), we get a palindrome (22266222).
It can be divided in two parts, 2224 and 2000, that added together give a palindrome (4224).
The spelling of 22242000 in words is "twenty-two million, two hundred forty-two thousand".
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