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11223144 = 2333223233
BaseRepresentation
bin101010110100…
…000001101000
3210010012021000
4222310001220
510333120034
61040315000
7164252352
oct52640150
923105230
1011223144
116376129
123912a60
13242c51a
1416c20d2
15eba599
hexab4068

11223144 has 64 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3708288.

The previous prime is 11223139. The next prime is 11223151. The reversal of 11223144 is 44132211.

It is a super-2 number, since 2×112231442 = 251917922489472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48052 + ... + 48284.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 211223144 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 11223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

11223144 is an abundant number, since it is smaller than the sum of its proper divisors (20226456).

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

11223144 is a wasteful number, since it uses less digits than its factorization.

11223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

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

The square root of 11223144 is about 3350.0961180241. The cubic root of 11223144 is about 223.8917951032.

Adding to 11223144 its reverse (44132211), we get a palindrome (55355355).

The spelling of 11223144 in words is "eleven million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 223 233 446 466 669 699 892 932 1338 1398 1784 1864 2007 2097 2676 2796 4014 4194 5352 5592 6021 6291 8028 8388 12042 12582 16056 16776 24084 25164 48168 50328 51959 103918 155877 207836 311754 415672 467631 623508 935262 1247016 1402893 1870524 2805786 3741048 5611572 11223144