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22106112 = 21237257
BaseRepresentation
bin101010001010…
…1000000000000
31112121002212220
41110111000000
521124343422
62105451040
7355620210
oct124250000
945532786
1022106112
1111529716
1274a0a80
13476cc52
142d16240
151e19e5c
hex1515000

22106112 has 104 divisors (see below), whose sum is σ = 67624896. Its totient is φ = 6291456.

The previous prime is 22106111. The next prime is 22106129. The reversal of 22106112 is 21160122.

It is a junction number, because it is equal to n+sod(n) for n = 22106091 and 22106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22106111) 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, 85888 + ... + 86144.

Almost surely, 222106112 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 22106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33812448).

22106112 is an abundant number, since it is smaller than the sum of its proper divisors (45518784).

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

22106112 is an equidigital number, since it uses as much as digits as its factorization.

22106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 22106112 is about 4701.7137301201. The cubic root of 22106112 is about 280.6537107015.

Adding to 22106112 its reverse (21160122), we get a palindrome (43266234).

The spelling of 22106112 in words is "twenty-two million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 257 336 384 448 512 514 672 768 771 896 1024 1028 1344 1536 1542 1792 1799 2048 2056 2688 3072 3084 3584 3598 4096 4112 5376 5397 6144 6168 7168 7196 8224 10752 10794 12288 12336 14336 14392 16448 21504 21588 24672 28672 28784 32896 43008 43176 49344 57568 65792 86016 86352 98688 115136 131584 172704 197376 230272 263168 345408 394752 460544 526336 690816 789504 921088 1052672 1381632 1579008 1842176 2763264 3158016 3684352 5526528 7368704 11053056 22106112