Base | Representation |
---|---|
bin | 1000011101101111… |
… | …0000111100000000 |
3 | 12212100112211212000 |
4 | 2013123300330000 |
5 | 14123140434441 |
6 | 1013245104000 |
7 | 110210255034 |
oct | 20733607400 |
9 | 5770484760 |
10 | 2272202496 |
11 | a66665403 |
12 | 534b58000 |
13 | 2a2991825 |
14 | 177ab41c4 |
15 | d47302b6 |
hex | 876f0f00 |
2272202496 has 144 divisors (see below), whose sum is σ = 6790576800. Its totient is φ = 749371392.
The previous prime is 2272202489. The next prime is 2272202521. The reversal of 2272202496 is 6942022722.
It is a tau number, because it is divible by the number of its divisors (144).
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 2272202496.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668770 + ... + 672158.
Almost surely, 22272202496 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2272202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395288400).
2272202496 is an abundant number, since it is smaller than the sum of its proper divisors (4518374304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2272202496 is an equidigital number, since it uses as much as digits as its factorization.
2272202496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3511 (or 3491 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 2272202496 is about 47667.6252397788. The cubic root of 2272202496 is about 1314.6667452974. Note that the first 3 decimals are identical.
The spelling of 2272202496 in words is "two billion, two hundred seventy-two million, two hundred two thousand, four hundred ninety-six".
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