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22131126 = 2327117317
BaseRepresentation
bin101010001101…
…1000110110110
31112122101012100
41110123012312
521131144001
62110202530
7356053143
oct124330666
945571170
1022131126
1111546496
1274b3446
13477b454
142d213ca
151e22586
hex151b1b6

22131126 has 24 divisors (see below), whose sum is σ = 48628944. Its totient is φ = 7272720.

The previous prime is 22131113. The next prime is 22131133. The reversal of 22131126 is 62113122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22131099 and 22131108.

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 11 ways as a sum of consecutive naturals, for example, 7381 + ... + 9936.

It is an arithmetic number, because the mean of its divisors is an integer number (2026206).

Almost surely, 222131126 is an apocalyptic number.

22131126 is an abundant number, since it is smaller than the sum of its proper divisors (26497818).

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

22131126 is a wasteful number, since it uses less digits than its factorization.

22131126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17396 (or 17393 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 22131126 is about 4704.3730719406. The cubic root of 22131126 is about 280.7595279776.

Adding to 22131126 its reverse (62113122), we get a palindrome (84244248).

The spelling of 22131126 in words is "twenty-two million, one hundred thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 17317 34634 51951 103902 155853 311706 1229507 2459014 3688521 7377042 11065563 22131126