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11220224 = 28411069
BaseRepresentation
bin101010110011…
…010100000000
3210010001020212
4222303110000
510333021344
61040253252
7164241011
oct52632400
923101225
1011220224
116373a14
123911228
13242b0b2
1416c1008
15eb979e
hexab3500

11220224 has 36 divisors (see below), whose sum is σ = 22964340. Its totient is φ = 5468160.

The previous prime is 11220211. The next prime is 11220227. The reversal of 11220224 is 42202211.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 8761600 = 1568^2 + 2960^2 .

It is a super-2 number, since 2×112202242 = 251786853220352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220199 and 11220208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9962 + ... + 11030.

Almost surely, 211220224 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 11220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11482170).

11220224 is an abundant number, since it is smaller than the sum of its proper divisors (11744116).

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

11220224 is an equidigital number, since it uses as much as digits as its factorization.

11220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 11220224 is about 3349.6602812823. The cubic root of 11220224 is about 223.8723762799.

Adding to 11220224 its reverse (42202211), we get a palindrome (53422435).

The spelling of 11220224 in words is "eleven million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1069 1312 2138 2624 4276 5248 8552 10496 17104 34208 43829 68416 87658 136832 175316 273664 350632 701264 1402528 2805056 5610112 11220224