Base | Representation |
---|---|
bin | 1000100011011001… |
… | …1100010000000000 |
3 | 12221000021111200000 |
4 | 2020312130100000 |
5 | 14200232112424 |
6 | 1015454400000 |
7 | 110616306303 |
oct | 21066342000 |
9 | 5830244600 |
10 | 2295972864 |
11 | a79020439 |
12 | 540b00000 |
13 | 2a7895133 |
14 | 17ad00b3a |
15 | d68783c9 |
hex | 88d9c400 |
2295972864 has 132 divisors (see below), whose sum is σ = 6875856624. Its totient is φ = 765241344.
The previous prime is 2295972853. The next prime is 2295972881. The reversal of 2295972864 is 4682795922.
2295972864 is a `hidden beast` number, since 2 + 29 + 597 + 28 + 6 + 4 = 666.
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 2295972864.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244219 + ... + 253445.
Almost surely, 22295972864 is an apocalyptic number.
2295972864 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 2295972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437928312).
2295972864 is an abundant number, since it is smaller than the sum of its proper divisors (4579883760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2295972864 is an frugal number, since it uses more digits than its factorization.
2295972864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9262 (or 9232 counting only the distinct ones).
The product of its digits is 4354560, while the sum is 54.
The square root of 2295972864 is about 47916.3110433180. The cubic root of 2295972864 is about 1319.2352595134.
The spelling of 2295972864 in words is "two billion, two hundred ninety-five million, nine hundred seventy-two thousand, eight hundred sixty-four".
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