| Base | Representation |
|---|---|
| bin | 1000100010111011… |
| … | …0111000110000000 |
| 3 | 12220212112112202000 |
| 4 | 2020232313012000 |
| 5 | 14144230020124 |
| 6 | 1015344024000 |
| 7 | 110563361565 |
| oct | 21056670600 |
| 9 | 5825475660 |
| 10 | 2293985664 |
| 11 | a77993423 |
| 12 | 540302000 |
| 13 | 2a734a789 |
| 14 | 17a94486c |
| 15 | d65d46c9 |
| hex | 88bb7180 |
2293985664 has 128 divisors (see below), whose sum is σ = 6872188800. Its totient is φ = 753172992.
The previous prime is 2293985651. The next prime is 2293985669. The reversal of 2293985664 is 4665893922.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 2293985664.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2293985669) 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 15 ways as a sum of consecutive naturals, for example, 226599 + ... + 236505.
It is an arithmetic number, because the mean of its divisors is an integer number (53688975).
Almost surely, 22293985664 is an apocalyptic number.
2293985664 is a gapful number since it is divisible by the number (24) 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 2293985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436094400).
2293985664 is an abundant number, since it is smaller than the sum of its proper divisors (4578203136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2293985664 is an equidigital number, since it uses as much as digits as its factorization.
2293985664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9997 (or 9979 counting only the distinct ones).
The product of its digits is 5598720, while the sum is 54.
The square root of 2293985664 is about 47895.5704006122. The cubic root of 2293985664 is about 1318.8545434847.
It can be divided in two parts, 229 and 3985664, that added together give a palindrome (3985893).
The spelling of 2293985664 in words is "two billion, two hundred ninety-three million, nine hundred eighty-five thousand, six hundred sixty-four".
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