Base | Representation |
---|---|
bin | 101010100000… |
… | …1101010010000 |
3 | 1112221101211000 |
4 | 1111001222100 |
5 | 21201222130 |
6 | 2113422000 |
7 | 360311424 |
oct | 125015220 |
9 | 45841730 |
10 | 22289040 |
11 | 116440a4 |
12 | 756a900 |
13 | 48052a7 |
14 | 2d62b84 |
15 | 1e54260 |
hex | 1541a90 |
22289040 has 160 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 5584896.
The previous prime is 22289027. The next prime is 22289053. The reversal of 22289040 is 4098222.
It is an interprime number because it is at equal distance from previous prime (22289027) and next prime (22289053).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 22288995 and 22289013.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36417 + ... + 37023.
It is an arithmetic number, because the mean of its divisors is an integer number (508896).
Almost surely, 222289040 is an apocalyptic number.
22289040 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 22289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).
22289040 is an abundant number, since it is smaller than the sum of its proper divisors (59134320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22289040 is a wasteful number, since it uses less digits than its factorization.
22289040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 646 (or 634 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 22289040 is about 4721.1269841003. The cubic root of 22289040 is about 281.4257212999.
The spelling of 22289040 in words is "twenty-two million, two hundred eighty-nine thousand, forty".
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