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22242012 = 22313236199
BaseRepresentation
bin101010011011…
…0001011011100
31112212000022020
41110312023130
521143221022
62112420140
7360024342
oct124661334
945760266
1022242012
1111611831
127547650
1347b9a70
142d4d992
151e4535c
hex15362dc

22242012 has 48 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 6545088.

The previous prime is 22241987. The next prime is 22242019. The reversal of 22242012 is 21024222.

It is a junction number, because it is equal to n+sod(n) for n = 22241982 and 22242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 489 + ... + 6687.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 222242012 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 22242012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).

22242012 is an abundant number, since it is smaller than the sum of its proper divisors (36087588).

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

22242012 is a wasteful number, since it uses less digits than its factorization.

22242012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22242012 is about 4716.1437637120. The cubic root of 22242012 is about 281.2276537307.

Adding to 22242012 its reverse (21024222), we get a palindrome (43266234).

The spelling of 22242012 in words is "twenty-two million, two hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 6199 12398 18597 24796 37194 74388 80587 142577 161174 241761 285154 322348 427731 483522 570308 855462 967044 1710924 1853501 3707002 5560503 7414004 11121006 22242012