Base | Representation |
---|---|
bin | 101010100011… |
… | …0000101000100 |
3 | 1112222022122101 |
4 | 1111012011010 |
5 | 21202312030 |
6 | 2114041444 |
7 | 360415252 |
oct | 125060504 |
9 | 45868571 |
10 | 22307140 |
11 | 11656759 |
12 | 7579284 |
13 | 48105bb |
14 | 2d695d2 |
15 | 1e597ca |
hex | 1546144 |
22307140 has 48 divisors (see below), whose sum is σ = 50400000. Its totient is φ = 8266752.
The previous prime is 22307107. The next prime is 22307147. The reversal of 22307140 is 4170322.
It is a super-3 number, since 3×223071403 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is not an unprimeable number, because it can be changed into a prime (22307147) 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, 17236 + ... + 18484.
It is an arithmetic number, because the mean of its divisors is an integer number (1050000).
Almost surely, 222307140 is an apocalyptic number.
22307140 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 22307140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200000).
22307140 is an abundant number, since it is smaller than the sum of its proper divisors (28092860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22307140 is a wasteful number, since it uses less digits than its factorization.
22307140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 19.
The square root of 22307140 is about 4723.0435102802. The cubic root of 22307140 is about 281.5018787201.
Adding to 22307140 its reverse (4170322), we get a palindrome (26477462).
The spelling of 22307140 in words is "twenty-two million, three hundred seven thousand, one hundred forty".
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