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22127872 = 281361109
BaseRepresentation
bin101010001101…
…0010100000000
31112122012201211
41110122110000
521131042442
62110135504
7356040514
oct124322400
945565654
1022127872
1111543aa8
1274b1594
134779b20
142d20144
151e21617
hex151a500

22127872 has 72 divisors (see below), whose sum is σ = 48790280. Its totient is φ = 9953280.

The previous prime is 22127849. The next prime is 22127873. The reversal of 22127872 is 27872122.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 22127616 = 16^2 + 4704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22127873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202954 + ... + 203062.

Almost surely, 222127872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395140).

22127872 is an abundant number, since it is smaller than the sum of its proper divisors (26662408).

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

22127872 is a wasteful number, since it uses less digits than its factorization.

22127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 6272, while the sum is 31.

The square root of 22127872 is about 4704.0272108057. The cubic root of 22127872 is about 280.7457670227.

Adding to 22127872 its reverse (27872122), we get a palindrome (49999994).

The spelling of 22127872 in words is "twenty-two million, one hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 109 122 128 208 218 244 256 416 436 488 793 832 872 976 1417 1586 1664 1744 1952 2834 3172 3328 3488 3904 5668 6344 6649 6976 7808 11336 12688 13298 13952 15616 22672 25376 26596 27904 45344 50752 53192 86437 90688 101504 106384 172874 181376 203008 212768 345748 362752 425536 691496 851072 1382992 1702144 2765984 5531968 11063936 22127872