Base | Representation |
---|---|
bin | 101011110110… |
… | …1110001000000 |
3 | 1121021012211001 |
4 | 1113231301000 |
5 | 21341301414 |
6 | 2140501344 |
7 | 366305566 |
oct | 127556100 |
9 | 47235731 |
10 | 22993984 |
11 | 11a857a2 |
12 | 784a854 |
13 | 49c1110 |
14 | 30a7a36 |
15 | 2043074 |
hex | 15edc40 |
22993984 has 56 divisors (see below), whose sum is σ = 50886360. Its totient is φ = 10235904.
The previous prime is 22993981. The next prime is 22993987. The reversal of 22993984 is 48939922.
It is an interprime number because it is at equal distance from previous prime (22993981) and next prime (22993987).
It can be written as a sum of positive squares in 4 ways, for example, as 640000 + 22353984 = 800^2 + 4728^2 .
It is not an unprimeable number, because it can be changed into a prime (22993981) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23652 + ... + 24604.
It is an arithmetic number, because the mean of its divisors is an integer number (908685).
Almost surely, 222993984 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 22993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25443180).
22993984 is an abundant number, since it is smaller than the sum of its proper divisors (27892376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22993984 is a wasteful number, since it uses less digits than its factorization.
22993984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1007 (or 997 counting only the distinct ones).
The product of its digits is 279936, while the sum is 46.
The square root of 22993984 is about 4795.2042709357. The cubic root of 22993984 is about 284.3619006002.
The spelling of 22993984 in words is "twenty-two million, nine hundred ninety-three thousand, nine hundred eighty-four".
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