Base | Representation |
---|---|
bin | 101010101000… |
… | …0001111100000 |
3 | 1120001102202011 |
4 | 1111100033200 |
5 | 21210130033 |
6 | 2115002304 |
7 | 360650521 |
oct | 125201740 |
9 | 46042664 |
10 | 22348768 |
11 | 11684a62 |
12 | 7599394 |
13 | 4826530 |
14 | 2d7a848 |
15 | 1e66ccd |
hex | 15503e0 |
22348768 has 48 divisors (see below), whose sum is σ = 48940416. Its totient is φ = 9976320.
The previous prime is 22348757. The next prime is 22348849. The reversal of 22348768 is 86784322.
22348768 = T97 + T98 + ... + T512.
It is a super-2 number, since 2×223487682 = 998934862235648, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 22348768.
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, 12030 + ... + 13762.
It is an arithmetic number, because the mean of its divisors is an integer number (1019592).
Almost surely, 222348768 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 22348768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24470208).
22348768 is an abundant number, since it is smaller than the sum of its proper divisors (26591648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22348768 is a wasteful number, since it uses less digits than its factorization.
22348768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1787 (or 1779 counting only the distinct ones).
The product of its digits is 129024, while the sum is 40.
The square root of 22348768 is about 4727.4483603737. The cubic root of 22348768 is about 281.6768761788.
The spelling of 22348768 in words is "twenty-two million, three hundred forty-eight thousand, seven hundred sixty-eight".
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