| Base | Representation |
|---|---|
| bin | 10100111001110100… |
| … | …00011110011110000 |
| 3 | 1001222002221000000100 |
| 4 | 22130322003303300 |
| 5 | 140440413301430 |
| 6 | 5053330552400 |
| 7 | 545046554022 |
| oct | 123472036360 |
| 9 | 31862830010 |
| 10 | 11222400240 |
| 11 | 4839830447 |
| 12 | 2212438700 |
| 13 | 109b02571c |
| 14 | 786644012 |
| 15 | 45a370960 |
| hex | 29ce83cf0 |
11222400240 has 120 divisors (see below), whose sum is σ = 37829319840. Its totient is φ = 2981463552.
The previous prime is 11222400227. The next prime is 11222400271. The reversal of 11222400240 is 4200422211.
11222400240 is a `hidden beast` number, since 1 + 1 + 2 + 22 + 400 + 240 = 666.
11222400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164709 + ... + 222651.
It is an arithmetic number, because the mean of its divisors is an integer number (315244332).
Almost surely, 211222400240 is an apocalyptic number.
11222400240 is a gapful number since it is divisible by the number (10) 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 11222400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914659920).
11222400240 is an abundant number, since it is smaller than the sum of its proper divisors (26606919600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11222400240 is a wasteful number, since it uses less digits than its factorization.
11222400240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58231 (or 58222 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 11222400240 its reverse (4200422211), we get a palindrome (15422822451).
The spelling of 11222400240 in words is "eleven billion, two hundred twenty-two million, four hundred thousand, two hundred forty".
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