Base | Representation |
---|---|
bin | 101010001101… |
… | …0110110110100 |
3 | 1112122022210100 |
4 | 1110122312310 |
5 | 21131130400 |
6 | 2110154100 |
7 | 356050146 |
oct | 124326664 |
9 | 45568710 |
10 | 22130100 |
11 | 11545743 |
12 | 74b2930 |
13 | 477ab45 |
14 | 2d20c96 |
15 | 1e22100 |
hex | 151adb4 |
22130100 has 108 divisors (see below), whose sum is σ = 70592704. Its totient is φ = 5797440.
The previous prime is 22130099. The next prime is 22130113. The reversal of 22130100 is 103122.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 60117 + ... + 60483.
Almost surely, 222130100 is an apocalyptic number.
22130100 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 22130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35296352).
22130100 is an abundant number, since it is smaller than the sum of its proper divisors (48462604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22130100 is a wasteful number, since it uses less digits than its factorization.
22130100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 454 (or 444 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 22130100 is about 4704.2640232028. The cubic root of 22130100 is about 280.7551892358.
Adding to 22130100 its reverse (103122), we get a palindrome (22233222).
The spelling of 22130100 in words is "twenty-two million, one hundred thirty thousand, one hundred".
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