Base | Representation |
---|---|
bin | 1000001101000100… |
… | …1010011000000000 |
3 | 12200111001011012002 |
4 | 2003101022120000 |
5 | 14002243023430 |
6 | 1002311123132 |
7 | 105401235140 |
oct | 20321123000 |
9 | 5614034162 |
10 | 2202314240 |
11 | a30170315 |
12 | 5156734a8 |
13 | 291361b29 |
14 | 16c6c0920 |
15 | cd527845 |
hex | 8344a600 |
2202314240 has 160 divisors (see below), whose sum is σ = 6139964160. Its totient is φ = 741924864.
The previous prime is 2202314159. The next prime is 2202314267. The reversal of 2202314240 is 424132022.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (20).
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, 1056239 + ... + 1058321.
It is an arithmetic number, because the mean of its divisors is an integer number (38374776).
Almost surely, 22202314240 is an apocalyptic number.
2202314240 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 2202314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069982080).
2202314240 is an abundant number, since it is smaller than the sum of its proper divisors (3937649920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2202314240 is an equidigital number, since it uses as much as digits as its factorization.
2202314240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2172 (or 2156 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 2202314240 is about 46928.8209952051. The cubic root of 2202314240 is about 1301.0473295748.
Adding to 2202314240 its reverse (424132022), we get a palindrome (2626446262).
It can be divided in two parts, 22023 and 14240, that added together give a palindrome (36263).
The spelling of 2202314240 in words is "two billion, two hundred two million, three hundred fourteen thousand, two hundred forty".
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