Base | Representation |
---|---|
bin | 101001111111… |
… | …0010011100000 |
3 | 1112102101100221 |
4 | 1103332103200 |
5 | 21113410102 |
6 | 2103452424 |
7 | 355052200 |
oct | 123762340 |
9 | 45371327 |
10 | 22013152 |
11 | 11475897 |
12 | 7457114 |
13 | 4739845 |
14 | 2cd0400 |
15 | 1dec637 |
hex | 14fe4e0 |
22013152 has 72 divisors (see below), whose sum is σ = 51279480. Its totient is φ = 9273600.
The previous prime is 22013149. The next prime is 22013161. The reversal of 22013152 is 25131022.
It is a Harshad number since it is a multiple of its sum of digits (16).
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 11 ways as a sum of consecutive naturals, for example, 158299 + ... + 158437.
It is an arithmetic number, because the mean of its divisors is an integer number (712215).
Almost surely, 222013152 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 22013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25639740).
22013152 is an abundant number, since it is smaller than the sum of its proper divisors (29266328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22013152 is a wasteful number, since it uses less digits than its factorization.
22013152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 264 (or 249 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 16.
The square root of 22013152 is about 4691.8175582603. The cubic root of 22013152 is about 280.2597589444.
Adding to 22013152 its reverse (25131022), we get a palindrome (47144174).
The spelling of 22013152 in words is "twenty-two million, thirteen thousand, one hundred fifty-two".
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