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11222406 = 23213199241
BaseRepresentation
bin101010110011…
…110110000110
3210010011020200
4222303312012
510333104111
61040311330
7164250246
oct52636606
923104220
1011222406
116375618
123912546
13242c0a0
1416c1b26
15eba256
hexab3d86

11222406 has 48 divisors (see below), whose sum is σ = 26426400. Its totient is φ = 3421440.

The previous prime is 11222357. The next prime is 11222417. The reversal of 11222406 is 60422211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46446 + ... + 46686.

It is an arithmetic number, because the mean of its divisors is an integer number (550550).

Almost surely, 211222406 is an apocalyptic number.

11222406 is the 1791-st nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213200).

11222406 is an abundant number, since it is smaller than the sum of its proper divisors (15203994).

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

11222406 is a wasteful number, since it uses less digits than its factorization.

11222406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11222406 is about 3349.9859701199. The cubic root of 11222406 is about 223.8868875132.

Adding to 11222406 its reverse (60422211), we get a palindrome (71644617).

It can be divided in two parts, 11222 and 406, that added together give a triangular number (11628 = T152).

The spelling of 11222406 in words is "eleven million, two hundred twenty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 199 234 241 398 482 597 723 1194 1446 1791 2169 2587 3133 3582 4338 5174 6266 7761 9399 15522 18798 23283 28197 46566 47959 56394 95918 143877 287754 431631 623467 863262 1246934 1870401 3740802 5611203 11222406