| Base | Representation |
|---|---|
| bin | 101010110101… |
| … | …011010100000 |
| 3 | 210010111001200 |
| 4 | 222311122200 |
| 5 | 10333310312 |
| 6 | 1040401200 |
| 7 | 164305056 |
| oct | 52653240 |
| 9 | 23114050 |
| 10 | 11228832 |
| 11 | 637a42a |
| 12 | 3916200 |
| 13 | 2431ca4 |
| 14 | 16c41d6 |
| 15 | ebc0dc |
| hex | ab56a0 |
11228832 has 72 divisors (see below), whose sum is σ = 32288256. Its totient is φ = 3701376.
The previous prime is 11228831. The next prime is 11228839. The reversal of 11228832 is 23882211.
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 11228796 and 11228805.
It is not an unprimeable number, because it can be changed into a prime (11228831) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36423 + ... + 36729.
It is an arithmetic number, because the mean of its divisors is an integer number (448448).
Almost surely, 211228832 is an apocalyptic number.
11228832 is a gapful number since it is divisible by the number (12) 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 11228832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144128).
11228832 is an abundant number, since it is smaller than the sum of its proper divisors (21059424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11228832 is a wasteful number, since it uses less digits than its factorization.
11228832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450 (or 439 counting only the distinct ones).
The product of its digits is 1536, while the sum is 27.
The square root of 11228832 is about 3350.9449413561. The cubic root of 11228832 is about 223.9296122380.
It can be divided in two parts, 11 and 228832, that multiplied together give a palindrome (2517152).
The spelling of 11228832 in words is "eleven million, two hundred twenty-eight thousand, eight hundred thirty-two".
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