| Base | Representation |
|---|---|
| bin | 10100111011100100… |
| … | …000100000111000000 |
| 3 | 2011000021001220211200 |
| 4 | 110323210010013000 |
| 5 | 332011340134430 |
| 6 | 14154030541200 |
| 7 | 1423634043150 |
| oct | 247344040700 |
| 9 | 64007056750 |
| 10 | 22474146240 |
| 11 | 9593084787 |
| 12 | 4432667800 |
| 13 | 21721543b0 |
| 14 | 1132b26760 |
| 15 | 8b808b460 |
| hex | 53b9041c0 |
22474146240 has 672 divisors, whose sum is σ = 98454545280. Its totient is φ = 4576739328.
The previous prime is 22474146221. The next prime is 22474146271. The reversal of 22474146240 is 4264147422.
22474146240 is a `hidden beast` number, since 2 + 2 + 474 + 146 + 2 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×224741462402 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 22474146195 and 22474146204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7598842 + ... + 7601798.
It is an arithmetic number, because the mean of its divisors is an integer number (146509740).
Almost surely, 222474146240 is an apocalyptic number.
22474146240 is a gapful number since it is divisible by the number (20) 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 22474146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49227272640).
22474146240 is an abundant number, since it is smaller than the sum of its proper divisors (75980399040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22474146240 is a wasteful number, since it uses less digits than its factorization.
22474146240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3029 (or 3016 counting only the distinct ones).
The product of its (nonzero) digits is 86016, while the sum is 36.
The spelling of 22474146240 in words is "twenty-two billion, four hundred seventy-four million, one hundred forty-six thousand, two hundred forty".
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