Base | Representation |
---|---|
bin | 101010001010… |
… | …1000011000000 |
3 | 1112121010011000 |
4 | 1110111003000 |
5 | 21124400204 |
6 | 2105452000 |
7 | 355620603 |
oct | 124250300 |
9 | 45533130 |
10 | 22106304 |
11 | 11529880 |
12 | 74a1000 |
13 | 477006c |
14 | 2d1633a |
15 | 1e1a039 |
hex | 15150c0 |
22106304 has 112 divisors (see below), whose sum is σ = 70957440. Its totient is φ = 6693120.
The previous prime is 22106281. The next prime is 22106327. The reversal of 22106304 is 40360122.
It is a happy number.
22106304 is a `hidden beast` number, since 22 + 10 + 630 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (22106281) and next prime (22106327).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 18427 + ... + 19589.
Almost surely, 222106304 is an apocalyptic number.
22106304 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 22106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35478720).
22106304 is an abundant number, since it is smaller than the sum of its proper divisors (48851136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22106304 is a wasteful number, since it uses less digits than its factorization.
22106304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1195 (or 1179 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 22106304 is about 4701.7341481628. The cubic root of 22106304 is about 280.6545232273.
Adding to 22106304 its reverse (40360122), we get a palindrome (62466426).
The spelling of 22106304 in words is "twenty-two million, one hundred six thousand, three hundred four".
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