Base | Representation |
---|---|
bin | 10100111010001011… |
… | …000001100100001000 |
3 | 2010221122011001200022 |
4 | 110322023001210020 |
5 | 331434401230000 |
6 | 14151434400012 |
7 | 1423231456661 |
oct | 247213014410 |
9 | 63848131608 |
10 | 22450805000 |
11 | 95809920a8 |
12 | 4426890008 |
13 | 216a371200 |
14 | 112d9ac368 |
15 | 8b5eca585 |
hex | 53a2c1908 |
22450805000 has 180 divisors, whose sum is σ = 57311408385. Its totient is φ = 8238672000.
The previous prime is 22450804951. The next prime is 22450805009. The reversal of 22450805000 is 50805422.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 8 ways, for example, as 8753847844 + 13696957156 = 93562^2 + 117034^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=105950.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is not an unprimeable number, because it can be changed into a prime (22450805009) by changing a digit.
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 44 ways as a sum of consecutive naturals, for example, 137734919 + ... + 137735081.
Almost surely, 222450805000 is an apocalyptic number.
22450805000 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 22450805000
22450805000 is an abundant number, since it is smaller than the sum of its proper divisors (34860603385).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22450805000 is an equidigital number, since it uses as much as digits as its factorization.
22450805000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 378 (or 183 counting only the distinct ones).
The product of its (nonzero) digits is 3200, while the sum is 26.
Multiplying 22450805000 by its product of nonzero digits (3200), we get a square (71842576000000 = 84760002).
The spelling of 22450805000 in words is "twenty-two billion, four hundred fifty million, eight hundred five thousand".
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