Base | Representation |
---|---|
bin | 10101001111010000… |
… | …101111001100010000 |
3 | 2011212021220221022001 |
4 | 111033100233030100 |
5 | 333200440433034 |
6 | 14250514123344 |
7 | 1435056051451 |
oct | 251720571420 |
9 | 64767827261 |
10 | 22804624144 |
11 | 9742685715 |
12 | 4505280554 |
13 | 21c5763853 |
14 | 1164991128 |
15 | 8d70baa14 |
hex | 54f42f310 |
22804624144 has 45 divisors (see below), whose sum is σ = 46655304327. Its totient is φ = 10796753952.
The previous prime is 22804624123. The next prime is 22804624153. The reversal of 22804624144 is 44142640822.
The square root of 22804624144 is 151012.
It is a perfect power (a square), and thus also a powerful number.
It is a super-3 number, since 3×228046241443 (a number of 32 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11475919 + ... + 11477905.
Almost surely, 222804624144 is an apocalyptic number.
22804624144 is the 151012-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22804624144
22804624144 is an abundant number, since it is smaller than the sum of its proper divisors (23850680183).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22804624144 is an frugal number, since it uses more digits than its factorization.
22804624144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4020 (or 2008 counting only the distinct ones).
The product of its (nonzero) digits is 98304, while the sum is 37.
The spelling of 22804624144 in words is "twenty-two billion, eight hundred four million, six hundred twenty-four thousand, one hundred forty-four".
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