Base | Representation |
---|---|
bin | 101010100001… |
… | …0001000101000 |
3 | 1112221111111000 |
4 | 1111002020220 |
5 | 21201302414 |
6 | 2113435000 |
7 | 360320202 |
oct | 125021050 |
9 | 45844430 |
10 | 22290984 |
11 | 11645601 |
12 | 756ba60 |
13 | 4806141 |
14 | 2d63772 |
15 | 1e54b09 |
hex | 1542228 |
22290984 has 64 divisors (see below), whose sum is σ = 63936000. Its totient is φ = 7188480.
The previous prime is 22290959. The next prime is 22290991. The reversal of 22290984 is 48909222.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 3.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5032 + ... + 8360.
It is an arithmetic number, because the mean of its divisors is an integer number (999000).
Almost surely, 222290984 is an apocalyptic number.
22290984 is a gapful number since it is divisible by the number (24) 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 22290984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968000).
22290984 is an abundant number, since it is smaller than the sum of its proper divisors (41645016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22290984 is a wasteful number, since it uses less digits than its factorization.
22290984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3375 (or 3365 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 22290984 is about 4721.3328626565. The cubic root of 22290984 is about 281.4339028351.
The spelling of 22290984 in words is "twenty-two million, two hundred ninety thousand, nine hundred eighty-four".
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