Base | Representation |
---|---|
bin | 101010000011… |
… | …1010100110100 |
3 | 1112111021001101 |
4 | 1110013110310 |
5 | 21121100400 |
6 | 2104335444 |
7 | 355265002 |
oct | 124072464 |
9 | 45437041 |
10 | 22050100 |
11 | 114a0626 |
12 | 7474584 |
13 | 47505c7 |
14 | 2cdda72 |
15 | 1e0856a |
hex | 1507534 |
22050100 has 36 divisors (see below), whose sum is σ = 49934304. Its totient is φ = 8435680.
The previous prime is 22050079. The next prime is 22050101. The reversal of 22050100 is 105022.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22050101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2494 + ... + 7093.
It is an arithmetic number, because the mean of its divisors is an integer number (1387064).
Almost surely, 222050100 is an apocalyptic number.
22050100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22050100 is an abundant number, since it is smaller than the sum of its proper divisors (27884204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22050100 is a wasteful number, since it uses less digits than its factorization.
22050100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9624 (or 9617 counting only the distinct ones).
The product of its (nonzero) digits is 20, while the sum is 10.
The square root of 22050100 is about 4695.7534006802. The cubic root of 22050100 is about 280.4164720689.
Adding to 22050100 its reverse (105022), we get a palindrome (22155122).
The spelling of 22050100 in words is "twenty-two million, fifty thousand, one hundred".
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