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22304112 = 2432389227
BaseRepresentation
bin101010100010…
…1010101110000
31112222011111020
41111011111300
521202212422
62114015440
7360403365
oct125052560
945864436
1022304112
1111654456
127577580
13480c0cc
142d6846c
151e5895c
hex1545570

22304112 has 80 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 7000576.

The previous prime is 22304069. The next prime is 22304129. The reversal of 22304112 is 21140322.

22304112 = T663 + T664 + ... + T751.

It is a junction number, because it is equal to n+sod(n) for n = 22304091 and 22304100.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 98143 + ... + 98369.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 222304112 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 22304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533760).

22304112 is an abundant number, since it is smaller than the sum of its proper divisors (38763408).

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

22304112 is a wasteful number, since it uses less digits than its factorization.

22304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

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

The square root of 22304112 is about 4722.7229433876. The cubic root of 22304112 is about 281.4891410008.

Adding to 22304112 its reverse (21140322), we get a palindrome (43444434).

The spelling of 22304112 in words is "twenty-two million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 227 267 276 356 368 454 534 552 681 712 908 1068 1104 1362 1424 1816 2047 2136 2724 3632 4094 4272 5221 5448 6141 8188 10442 10896 12282 15663 16376 20203 20884 24564 31326 32752 40406 41768 49128 60609 62652 80812 83536 98256 121218 125304 161624 242436 250608 323248 464669 484872 929338 969744 1394007 1858676 2788014 3717352 5576028 7434704 11152056 22304112