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22130000 = 24542213
BaseRepresentation
bin101010001101…
…0110101010000
31112122022122122
41110122311100
521131130000
62110153412
7356046644
oct124326520
945568578
1022130000
1111545662
1274b2868
13477aa99
142d20c24
151e22085
hex151ad50

22130000 has 50 divisors (see below), whose sum is σ = 53603154. Its totient is φ = 8848000.

The previous prime is 22129999. The next prime is 22130029. The reversal of 22130000 is 3122.

It can be written as a sum of positive squares in 5 ways, for example, as 2274064 + 19855936 = 1508^2 + 4456^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22130000.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 8894 + ... + 11106.

Almost surely, 222130000 is an apocalyptic number.

22130000 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 22130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26801577).

22130000 is an abundant number, since it is smaller than the sum of its proper divisors (31473154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22130000 is an equidigital number, since it uses as much as digits as its factorization.

22130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 22130000 is about 4704.2533945356. The cubic root of 22130000 is about 280.7547663493.

Adding to 22130000 its reverse (3122), we get a palindrome (22133122).

The spelling of 22130000 in words is "twenty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2213 2500 4426 5000 8852 10000 11065 17704 22130 35408 44260 55325 88520 110650 177040 221300 276625 442600 553250 885200 1106500 1383125 2213000 2766250 4426000 5532500 11065000 22130000