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22132112 = 2419471549
BaseRepresentation
bin101010001101…
…1010110010000
31112122102112212
41110123112100
521131211422
62110211252
7356056052
oct124332620
945572485
1022132112
1111547202
1274b3b28
13477ba32
142d218d2
151e229e2
hex151b590

22132112 has 40 divisors (see below), whose sum is σ = 46128000. Its totient is φ = 10253952.

The previous prime is 22132091. The next prime is 22132127. The reversal of 22132112 is 21123122.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 13514 + ... + 15062.

It is an arithmetic number, because the mean of its divisors is an integer number (1153200).

Almost surely, 222132112 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 22132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064000).

22132112 is an abundant number, since it is smaller than the sum of its proper divisors (23995888).

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

22132112 is a wasteful number, since it uses less digits than its factorization.

22132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1617 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 22132112 is about 4704.4778668838. The cubic root of 22132112 is about 280.7636974414.

Adding to 22132112 its reverse (21123122), we get a palindrome (43255234).

The spelling of 22132112 in words is "twenty-two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 893 1549 1786 3098 3572 6196 7144 12392 14288 24784 29431 58862 72803 117724 145606 235448 291212 470896 582424 1164848 1383257 2766514 5533028 11066056 22132112