| Base | Representation |
|---|---|
| bin | 1000011011111001… |
| … | …1010101011100000 |
| 3 | 12211211001222120100 |
| 4 | 2012332122223200 |
| 5 | 14114203243102 |
| 6 | 1012412142400 |
| 7 | 110055003333 |
| oct | 20676325340 |
| 9 | 5754058510 |
| 10 | 2264509152 |
| 11 | a62290274 |
| 12 | 532467a00 |
| 13 | 2a11c9b59 |
| 14 | 176a7061a |
| 15 | d3c10a1c |
| hex | 86f9aae0 |
2264509152 has 144 divisors (see below), whose sum is σ = 6554293200. Its totient is φ = 741543936.
The previous prime is 2264509151. The next prime is 2264509153. The reversal of 2264509152 is 2519054622.
2264509152 is a `hidden beast` number, since 2 + 2 + 645 + 0 + 9 + 1 + 5 + 2 = 666.
2264509152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2264509151) and next prime (2264509153).
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 zygodrome in base 7.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2264509151) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4848823 + ... + 4849289.
It is an arithmetic number, because the mean of its divisors is an integer number (45515925).
Almost surely, 22264509152 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 2264509152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277146600).
2264509152 is an abundant number, since it is smaller than the sum of its proper divisors (4289784048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2264509152 is a wasteful number, since it uses less digits than its factorization.
2264509152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 745 (or 734 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The square root of 2264509152 is about 47586.8590264161. The cubic root of 2264509152 is about 1313.1813113623.
The spelling of 2264509152 in words is "two billion, two hundred sixty-four million, five hundred nine thousand, one hundred fifty-two".
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