Base | Representation |
---|---|
bin | 101011110011… |
… | …1101010101000 |
3 | 1121012221112201 |
4 | 1113213222220 |
5 | 21340002000 |
6 | 2140145544 |
7 | 366143005 |
oct | 127475250 |
9 | 47187481 |
10 | 22969000 |
11 | 11a68a4a |
12 | 78382b4 |
13 | 49b2932 |
14 | 309c8ac |
15 | 203a96a |
hex | 15e7aa8 |
22969000 has 64 divisors (see below), whose sum is σ = 54512640. Its totient is φ = 9057600.
The previous prime is 22968991. The next prime is 22969003. The reversal of 22969000 is 96922.
It is a super-2 number, since 2×229690002 = 1055149922000000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 22969000.
It is not an unprimeable number, because it can be changed into a prime (22969003) 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, 102889 + ... + 103111.
It is an arithmetic number, because the mean of its divisors is an integer number (851760).
Almost surely, 222969000 is an apocalyptic number.
22969000 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 22969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27256320).
22969000 is an abundant number, since it is smaller than the sum of its proper divisors (31543640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22969000 is a wasteful number, since it uses less digits than its factorization.
22969000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 347 (or 333 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 28.
The square root of 22969000 is about 4792.5984601258. The cubic root of 22969000 is about 284.2588726024.
The spelling of 22969000 in words is "twenty-two million, nine hundred sixty-nine thousand".
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