Base | Representation |
---|---|
bin | 101010100111… |
… | …0001000000100 |
3 | 1120000222212010 |
4 | 1111032020010 |
5 | 21204340400 |
6 | 2114454220 |
7 | 360613326 |
oct | 125161004 |
9 | 46028763 |
10 | 22340100 |
11 | 116794a2 |
12 | 7594370 |
13 | 48225c3 |
14 | 2d77616 |
15 | 1e64450 |
hex | 154e204 |
22340100 has 72 divisors (see below), whose sum is σ = 65308320. Its totient is φ = 5895680.
The previous prime is 22340099. The next prime is 22340137. The reversal of 22340100 is 104322.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33571 + ... + 34229.
It is an arithmetic number, because the mean of its divisors is an integer number (907060).
Almost surely, 222340100 is an apocalyptic number.
22340100 is a gapful number since it is divisible by the number (20) 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 22340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32654160).
22340100 is an abundant number, since it is smaller than the sum of its proper divisors (42968220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22340100 is a wasteful number, since it uses less digits than its factorization.
22340100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 789 (or 782 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 22340100 is about 4726.5314978322. The cubic root of 22340100 is about 281.6404552168.
Adding to 22340100 its reverse (104322), we get a palindrome (22444422).
The spelling of 22340100 in words is "twenty-two million, three hundred forty thousand, one hundred".
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