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22232112 = 2437127521
BaseRepresentation
bin101010011001…
…1110000110000
31112211111201120
41110303300300
521142411422
62112302240
7356653440
oct124636060
945744646
1022232112
1111605351
127541980
1347b53c6
142d4a120
151e4245c
hex1533c30

22232112 has 80 divisors (see below), whose sum is σ = 66281472. Its totient is φ = 6289920.

The previous prime is 22232087. The next prime is 22232117. The reversal of 22232112 is 21123222.

It is a happy number.

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 = 22232091 and 22232100.

It is not an unprimeable number, because it can be changed into a prime (22232117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42412 + ... + 42932.

Almost surely, 222232112 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 22232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33140736).

22232112 is an abundant number, since it is smaller than the sum of its proper divisors (44049360).

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

22232112 is a wasteful number, since it uses less digits than its factorization.

22232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 22232112 is about 4715.0940605676. The cubic root of 22232112 is about 281.1859223899.

Adding to 22232112 its reverse (21123222), we get a palindrome (43355334).

The spelling of 22232112 in words is "twenty-two million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 521 762 889 1016 1042 1524 1563 1778 2032 2084 2667 3048 3126 3556 3647 4168 5334 6096 6252 7112 7294 8336 10668 10941 12504 14224 14588 21336 21882 25008 29176 42672 43764 58352 66167 87528 132334 175056 198501 264668 397002 463169 529336 794004 926338 1058672 1389507 1588008 1852676 2779014 3176016 3705352 5558028 7410704 11116056 22232112