Base | Representation |
---|---|
bin | 101001111101… |
… | …1010110010000 |
3 | 1112101202202100 |
4 | 1103323112100 |
5 | 21113013130 |
6 | 2103320400 |
7 | 355001655 |
oct | 123732620 |
9 | 45352670 |
10 | 22001040 |
11 | 11467786 |
12 | 7450100 |
13 | 4734189 |
14 | 2cc9c2c |
15 | 1de8c60 |
hex | 14fb590 |
22001040 has 60 divisors (see below), whose sum is σ = 73889244. Its totient is φ = 5866752.
The previous prime is 22001033. The next prime is 22001047. The reversal of 22001040 is 4010022.
It is an interprime number because it is at equal distance from previous prime (22001033) and next prime (22001047).
It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 17740944 = 2064^2 + 4212^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a super-2 number, since 2×220010402 = 968091522163200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (22001047) by changing a digit.
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, 14559 + ... + 15998.
Almost surely, 222001040 is an apocalyptic number.
22001040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22001040 is an abundant number, since it is smaller than the sum of its proper divisors (51888204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22001040 is a wasteful number, since it uses less digits than its factorization.
22001040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30576 (or 30567 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 22001040 is about 4690.5266228858. The cubic root of 22001040 is about 280.2083483307.
Adding to 22001040 its reverse (4010022), we get a palindrome (26011062).
It can be divided in two parts, 2200 and 1040, that added together give a triangular number (3240 = T80).
The spelling of 22001040 in words is "twenty-two million, one thousand, forty".
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