Search a number
-
+
11222112 = 2531110627
BaseRepresentation
bin101010110011…
…110001100000
3210010010211210
4222303301200
510333101422
61040310120
7164246346
oct52636140
923103753
1011222112
116375380
123912340
13242bc05
1416c1996
15eba10c
hexab3c60

11222112 has 48 divisors (see below), whose sum is σ = 32139072. Its totient is φ = 3400320.

The previous prime is 11222089. The next prime is 11222129. The reversal of 11222112 is 21122211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 7 ways as a sum of consecutive naturals, for example, 4258 + ... + 6369.

It is an arithmetic number, because the mean of its divisors is an integer number (669564).

Almost surely, 211222112 is an apocalyptic number.

11222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11222112 is an abundant number, since it is smaller than the sum of its proper divisors (20916960).

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

11222112 is a wasteful number, since it uses less digits than its factorization.

11222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10651 (or 10643 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 11222112 is about 3349.9420890517. The cubic root of 11222112 is about 223.8849323971.

Adding to 11222112 its reverse (21122211), we get a palindrome (32344323).

Subtracting 11222112 from its reverse (21122211), we obtain a palindrome (9900099).

It can be divided in two parts, 1122211 and 2, that multiplied together give a palindrome (2244422).

The spelling of 11222112 in words is "eleven million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10627 21254 31881 42508 63762 85016 116897 127524 170032 233794 255048 340064 350691 467588 510096 701382 935176 1020192 1402764 1870352 2805528 3740704 5611056 11222112