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11228416 = 28231907
BaseRepresentation
bin101010110101…
…010100000000
3210010110111021
4222311110000
510333302131
61040355224
7164303623
oct52652400
923113437
1011228416
11637a091
123915b14
132431a44
1416c3dba
15ebbe11
hexab5500

11228416 has 36 divisors (see below), whose sum is σ = 23399712. Its totient is φ = 5367296.

The previous prime is 11228369. The next prime is 11228447. The reversal of 11228416 is 61482211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4935 + ... + 6841.

It is an arithmetic number, because the mean of its divisors is an integer number (649992).

Almost surely, 211228416 is an apocalyptic number.

11228416 is a gapful number since it is divisible by the number (16) 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 11228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699856).

11228416 is an abundant number, since it is smaller than the sum of its proper divisors (12171296).

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

11228416 is an equidigital number, since it uses as much as digits as its factorization.

11228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1932 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 11228416 is about 3350.8828687377. The cubic root of 11228416 is about 223.9268468608.

The spelling of 11228416 in words is "eleven million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 1907 2944 3814 5888 7628 15256 30512 43861 61024 87722 122048 175444 244096 350888 488192 701776 1403552 2807104 5614208 11228416