Base | Representation |
---|---|
bin | 101010110010… |
… | …0000111000000 |
3 | 1120012120101002 |
4 | 1111210013000 |
5 | 21220231034 |
6 | 2120431132 |
7 | 361440002 |
oct | 125440700 |
9 | 46176332 |
10 | 22430144 |
11 | 11730110 |
12 | 76184a8 |
13 | 4854599 |
14 | 2d9c372 |
15 | 1e80e7e |
hex | 15641c0 |
22430144 has 56 divisors (see below), whose sum is σ = 49109376. Its totient is φ = 10080000.
The previous prime is 22430101. The next prime is 22430153. The reversal of 22430144 is 44103422.
It is a super-2 number, since 2×224301442 = 1006222719721472, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106199 + ... + 106409.
Almost surely, 222430144 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 22430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554688).
22430144 is an abundant number, since it is smaller than the sum of its proper divisors (26679232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22430144 is a wasteful number, since it uses less digits than its factorization.
22430144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 385 (or 375 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 22430144 is about 4736.0472970611. The cubic root of 22430144 is about 282.0183412781.
Adding to 22430144 its reverse (44103422), we get a palindrome (66533566).
The spelling of 22430144 in words is "twenty-two million, four hundred thirty thousand, one hundred forty-four".
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