Base | Representation |
---|---|
bin | 101011010001… |
… | …1011010000000 |
3 | 1120200202000110 |
4 | 1112203122000 |
5 | 21302030113 |
6 | 2130151320 |
7 | 363566610 |
oct | 126433200 |
9 | 46622013 |
10 | 22689408 |
11 | 11897985 |
12 | 7722540 |
13 | 49155b1 |
14 | 3028a40 |
15 | 1ed2bc3 |
hex | 15a3680 |
22689408 has 128 divisors (see below), whose sum is σ = 72069120. Its totient is φ = 6183936.
The previous prime is 22689389. The next prime is 22689409. The reversal of 22689408 is 80498622.
It is a tau number, because it is divible by the number of its divisors (128).
It is not an unprimeable number, because it can be changed into a prime (22689409) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61641 + ... + 62007.
It is an arithmetic number, because the mean of its divisors is an integer number (563040).
Almost surely, 222689408 is an apocalyptic number.
22689408 is a gapful number since it is divisible by the number (28) 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 22689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36034560).
22689408 is an abundant number, since it is smaller than the sum of its proper divisors (49379712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22689408 is a wasteful number, since it uses less digits than its factorization.
22689408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 414 (or 402 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 39.
The square root of 22689408 is about 4763.3400046606. The cubic root of 22689408 is about 283.1007727955.
The spelling of 22689408 in words is "twenty-two million, six hundred eighty-nine thousand, four hundred eight".
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