| Base | Representation |
|---|---|
| bin | 10100111110010110… |
| … | …000110010000000000 |
| 3 | 2011010111220000121000 |
| 4 | 110332112012100000 |
| 5 | 332110312113030 |
| 6 | 14202415132000 |
| 7 | 1425041532360 |
| oct | 247626062000 |
| 9 | 64114800530 |
| 10 | 22520816640 |
| 11 | 9607460963 |
| 12 | 4446214000 |
| 13 | 217ba1510a |
| 14 | 1138dd49a0 |
| 15 | 8bc209860 |
| hex | 53e586400 |
22520816640 has 1056 divisors, whose sum is σ = 99537258240. Its totient is φ = 4713873408.
The previous prime is 22520816627. The next prime is 22520816653. The reversal of 22520816640 is 4661802522.
It is a happy number.
22520816640 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 0 + 8 + 1 + 6 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (22520816627) and next prime (22520816653).
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 = 22520816595 and 22520816604.
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, 608670702 + ... + 608670738.
Almost surely, 222520816640 is an apocalyptic number.
22520816640 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 22520816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49768629120).
22520816640 is an abundant number, since it is smaller than the sum of its proper divisors (77016441600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22520816640 is a wasteful number, since it uses less digits than its factorization.
22520816640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 71 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
It can be divided in two parts, 22520 and 816640, that added together give a triangular number (839160 = T1295).
The spelling of 22520816640 in words is "twenty-two billion, five hundred twenty million, eight hundred sixteen thousand, six hundred forty".
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