Base | Representation |
---|---|
bin | 101010001101… |
… | …1011000010000 |
3 | 1112122102201121 |
4 | 1110123120100 |
5 | 21131212430 |
6 | 2110212024 |
7 | 356056324 |
oct | 124333020 |
9 | 45572647 |
10 | 22132240 |
11 | 11547309 |
12 | 74b4014 |
13 | 477bb00 |
14 | 2d21984 |
15 | 1e22a7a |
hex | 151b610 |
22132240 has 60 divisors (see below), whose sum is σ = 55754244. Its totient is φ = 8166912.
The previous prime is 22132237. The next prime is 22132241. The reversal of 22132240 is 4223122.
It can be written as a sum of positive squares in 6 ways, for example, as 10653696 + 11478544 = 3264^2 + 3388^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (22132241) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12702 + ... + 14338.
Almost surely, 222132240 is an apocalyptic number.
22132240 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 22132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27877122).
22132240 is an abundant number, since it is smaller than the sum of its proper divisors (33622004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22132240 is a wasteful number, since it uses less digits than its factorization.
22132240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1676 (or 1657 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 22132240 is about 4704.4914709244. The cubic root of 22132240 is about 280.7642387014.
Adding to 22132240 its reverse (4223122), we get a palindrome (26355362).
The spelling of 22132240 in words is "twenty-two million, one hundred thirty-two thousand, two hundred forty".
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