Base | Representation |
---|---|
bin | 10100011111101010… |
… | …000000100001000000 |
3 | 2002210122001200211100 |
4 | 110133222000201000 |
5 | 330032010123321 |
6 | 14035343414400 |
7 | 1406220265200 |
oct | 243752004100 |
9 | 62718050740 |
10 | 22005942336 |
11 | 9372865204 |
12 | 43218b4400 |
13 | 20c9152971 |
14 | 10ca88a400 |
15 | 88be04326 |
hex | 51fa80840 |
22005942336 has 189 divisors, whose sum is σ = 73457383311. Its totient is φ = 6280291584.
The previous prime is 22005942319. The next prime is 22005942353. The reversal of 22005942336 is 63324950022.
It is a happy number.
The square root of 22005942336 is 148344.
It is a perfect power (a square), and thus also a powerful number.
22005942336 is a `hidden beast` number, since 220 + 0 + 5 + 9 + 423 + 3 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (22005942319) and next prime (22005942353).
It is a super-2 number, since 2×220059423362 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 22005942336.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24921351 + ... + 24922233.
Almost surely, 222005942336 is an apocalyptic number.
22005942336 is the 148344-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22005942336
22005942336 is an abundant number, since it is smaller than the sum of its proper divisors (51451440975).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22005942336 is an frugal number, since it uses more digits than its factorization.
22005942336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1798 (or 895 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
Multiplying 22005942336 by its sum of digits (36), we get a square (792213924096 = 8900642).
22005942336 divided by its sum of digits (36) gives a square (611276176 = 247242).
The spelling of 22005942336 in words is "twenty-two billion, five million, nine hundred forty-two thousand, three hundred thirty-six".
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