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22010112 = 283241233
BaseRepresentation
bin101001111110…
…1100100000000
31112102020012100
41103331210000
521113310422
62103430400
7355040265
oct123754400
945366170
1022010112
1111473583
127455400
134738347
142ccd26c
151deb7ac
hex14fd900

22010112 has 108 divisors (see below), whose sum is σ = 65287404. Its totient is φ = 7127040.

The previous prime is 22010089. The next prime is 22010117. The reversal of 22010112 is 21101022.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 19501056 = 1584^2 + 4416^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22010094 and 22010103.

It is not an unprimeable number, because it can be changed into a prime (22010117) 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 11 ways as a sum of consecutive naturals, for example, 94348 + ... + 94580.

It is an arithmetic number, because the mean of its divisors is an integer number (604513).

Almost surely, 222010112 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 22010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643702).

22010112 is an abundant number, since it is smaller than the sum of its proper divisors (43277292).

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

22010112 is a wasteful number, since it uses less digits than its factorization.

22010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 22010112 is about 4691.4935788084. The cubic root of 22010112 is about 280.2468571287.

Adding to 22010112 its reverse (21101022), we get a palindrome (43111134).

It can be divided in two parts, 22010 and 112, that added together give a palindrome (22122).

The spelling of 22010112 in words is "twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 233 246 256 288 328 369 384 466 492 576 656 699 738 768 932 984 1152 1312 1398 1476 1864 1968 2097 2304 2624 2796 2952 3728 3936 4194 5248 5592 5904 7456 7872 8388 9553 10496 11184 11808 14912 15744 16776 19106 22368 23616 28659 29824 31488 33552 38212 44736 47232 57318 59648 67104 76424 85977 89472 94464 114636 134208 152848 171954 178944 229272 268416 305696 343908 458544 536832 611392 687816 917088 1222784 1375632 1834176 2445568 2751264 3668352 5502528 7336704 11005056 22010112