Base | Representation |
---|---|
bin | 101010000001… |
… | …1110000000000 |
3 | 1112110111222000 |
4 | 1110003300000 |
5 | 21120113311 |
6 | 2104144000 |
7 | 355204212 |
oct | 124036000 |
9 | 45414860 |
10 | 22035456 |
11 | 11490623 |
12 | 7468000 |
13 | 4746a41 |
14 | 2cd85b2 |
15 | 1e04056 |
hex | 1503c00 |
22035456 has 88 divisors (see below), whose sum is σ = 65340240. Its totient is φ = 7335936.
The previous prime is 22035443. The next prime is 22035463. The reversal of 22035456 is 65453022.
22035456 is a `hidden beast` number, since 2 + 203 + 5 + 456 = 666.
It is a super-2 number, since 2×220354562 = 971122642255872, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 4.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27250 + ... + 28046.
Almost surely, 222035456 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 22035456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32670120).
22035456 is an abundant number, since it is smaller than the sum of its proper divisors (43304784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22035456 is an equidigital number, since it uses as much as digits as its factorization.
22035456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 826 (or 802 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
The square root of 22035456 is about 4694.1938605047. The cubic root of 22035456 is about 280.3543812211.
Adding to 22035456 its reverse (65453022), we get a palindrome (87488478).
The spelling of 22035456 in words is "twenty-two million, thirty-five thousand, four hundred fifty-six".
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