| Base | Representation |
|---|---|
| bin | 101011011000… |
| … | …0010100000000 |
| 3 | 1120210102112101 |
| 4 | 1112300110000 |
| 5 | 21310223042 |
| 6 | 2131240144 |
| 7 | 364210000 |
| oct | 126602400 |
| 9 | 46712471 |
| 10 | 22742272 |
| 11 | 11923673 |
| 12 | 7749054 |
| 13 | 4933687 |
| 14 | 3040000 |
| 15 | 1ee36b7 |
| hex | 15b0500 |
22742272 has 90 divisors (see below), whose sum is σ = 54389818. Its totient is φ = 9483264.
The previous prime is 22742197. The next prime is 22742273. The reversal of 22742272 is 27224722.
It can be written as a sum of positive squares in only one way, i.e., 22127616 + 614656 = 4704^2 + 784^2 .
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 22742272.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22742273) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 614638 + ... + 614674.
Almost surely, 222742272 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27194909).
22742272 is an abundant number, since it is smaller than the sum of its proper divisors (31647546).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22742272 is an frugal number, since it uses more digits than its factorization.
22742272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 81 (or 46 counting only the distinct ones).
The product of its digits is 6272, while the sum is 28.
The square root of 22742272 is about 4768.8858237538. The cubic root of 22742272 is about 283.3204675434.
Adding to 22742272 its reverse (27224722), we get a palindrome (49966994).
It can be divided in two parts, 2274227 and 2, that multiplied together give a palindrome (4548454).
The spelling of 22742272 in words is "twenty-two million, seven hundred forty-two thousand, two hundred seventy-two".
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