Base | Representation |
---|---|
bin | 101010001110… |
… | …1110111100000 |
3 | 1112122221201002 |
4 | 1110131313200 |
5 | 21132024212 |
6 | 2110331132 |
7 | 356131124 |
oct | 124356740 |
9 | 45587632 |
10 | 22142432 |
11 | 11553a34 |
12 | 74b9aa8 |
13 | 4783640 |
14 | 2d25584 |
15 | 1e25ac2 |
hex | 151dde0 |
22142432 has 96 divisors (see below), whose sum is σ = 51819264. Its totient is φ = 9216000.
The previous prime is 22142423. The next prime is 22142447. The reversal of 22142432 is 23424122.
It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219182 + ... + 219282.
It is an arithmetic number, because the mean of its divisors is an integer number (539784).
Almost surely, 222142432 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 22142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909632).
22142432 is an abundant number, since it is smaller than the sum of its proper divisors (29676832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22142432 is a wasteful number, since it uses less digits than its factorization.
22142432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 172 (or 164 counting only the distinct ones).
The product of its digits is 768, while the sum is 20.
The square root of 22142432 is about 4705.5745664053. The cubic root of 22142432 is about 280.8073298357.
Adding to 22142432 its reverse (23424122), we get a palindrome (45566554).
The spelling of 22142432 in words is "twenty-two million, one hundred forty-two thousand, four hundred thirty-two".
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