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11221224 = 2337173929
BaseRepresentation
bin101010110011…
…100011101000
3210010002121220
4222303203220
510333034344
61040302040
7164243640
oct52634350
923102556
1011221224
116374743
123911920
13242b6a1
1416c1520
15eb9c19
hexab38e8

11221224 has 64 divisors (see below), whose sum is σ = 33955200. Its totient is φ = 3016704.

The previous prime is 11221219. The next prime is 11221247. The reversal of 11221224 is 42212211.

11221224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 892 + ... + 4820.

It is an arithmetic number, because the mean of its divisors is an integer number (530550).

Almost surely, 211221224 is an apocalyptic number.

11221224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977600).

11221224 is an abundant number, since it is smaller than the sum of its proper divisors (22733976).

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

11221224 is a wasteful number, since it uses less digits than its factorization.

11221224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3958 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 11221224 is about 3349.8095468250. The cubic root of 11221224 is about 223.8790269412.

Adding to 11221224 its reverse (42212211), we get a palindrome (53433435).

It can be divided in two parts, 1122 and 1224, that added together give a triangular number (2346 = T68).

The spelling of 11221224 in words is "eleven million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 3929 7858 11787 15716 23574 27503 31432 47148 55006 66793 82509 94296 110012 133586 165018 200379 220024 267172 330036 400758 467551 534344 660072 801516 935102 1402653 1603032 1870204 2805306 3740408 5610612 11221224