Base | Representation |
---|---|
bin | 1000100010011101… |
… | …1101110100100000 |
3 | 12220201220001120200 |
4 | 2020213131310200 |
5 | 14143231002021 |
6 | 1015234305200 |
7 | 110541036111 |
oct | 21047356440 |
9 | 5821801520 |
10 | 2292047136 |
11 | a76889a35 |
12 | 53b728200 |
13 | 2a6b1c312 |
14 | 17a59c208 |
15 | d6350126 |
hex | 889ddd20 |
2292047136 has 72 divisors (see below), whose sum is σ = 6582627324. Its totient is φ = 756441600.
The previous prime is 2292047099. The next prime is 2292047137. The reversal of 2292047136 is 6317402922.
It can be written as a sum of positive squares in 2 ways, for example, as 1828075536 + 463971600 = 42756^2 + 21540^2 .
It is a tau number, because it is divible by the number of its divisors (72).
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 2292047136.
It is not an unprimeable number, because it can be changed into a prime (2292047137) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10311 + ... + 68486.
Almost surely, 22292047136 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 2292047136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291313662).
2292047136 is an abundant number, since it is smaller than the sum of its proper divisors (4290580188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2292047136 is a wasteful number, since it uses less digits than its factorization.
2292047136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 78914 (or 78903 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 2292047136 is about 47875.3290954746. The cubic root of 2292047136 is about 1318.4829403256.
The spelling of 2292047136 in words is "two billion, two hundred ninety-two million, forty-seven thousand, one hundred thirty-six".
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