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11145222 = 2331129647
BaseRepresentation
bin101010100001…
…000000000110
3202222020101000
4222201000012
510323121342
61034514130
7163506234
oct52410006
922866330
1011145222
116322630
123895946
132402c0a
1416a1954
15ea244c
hexaa1006

11145222 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 3255840.

The previous prime is 11145221. The next prime is 11145223. The reversal of 11145222 is 22254111.

It is an interprime number because it is at equal distance from previous prime (11145221) and next prime (11145223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11145195 and 11145204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16903 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 211145222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11145222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

11145222 is an abundant number, since it is smaller than the sum of its proper divisors (16848378).

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

11145222 is a wasteful number, since it uses less digits than its factorization.

11145222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 11145222 is about 3338.4460456925. The cubic root of 11145222 is about 223.3724329454.

Adding to 11145222 its reverse (22254111), we get a palindrome (33399333).

Subtracting 11145222 from its reverse (22254111), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1114 and 5222, that added together give a palindrome (6336).

The spelling of 11145222 in words is "eleven million, one hundred forty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 647 783 957 1294 1566 1914 1941 2871 3882 5742 5823 7117 8613 11646 14234 17226 17469 18763 21351 34938 37526 42702 56289 64053 112578 128106 168867 192159 206393 337734 384318 412786 506601 619179 1013202 1238358 1857537 3715074 5572611 11145222