Base | Representation |
---|---|
bin | 1000011001011011… |
… | …0101001101000000 |
3 | 12211002112202211120 |
4 | 2012112311031000 |
5 | 14104024211112 |
6 | 1011401512240 |
7 | 106600543335 |
oct | 20626651500 |
9 | 5732482746 |
10 | 2254132032 |
11 | a57442839 |
12 | 52aaa2680 |
13 | 29c005749 |
14 | 17552c98c |
15 | d2d60e8c |
hex | 865b5340 |
2254132032 has 112 divisors (see below), whose sum is σ = 6412016640. Its totient is φ = 696632832.
The previous prime is 2254132007. The next prime is 2254132057. The reversal of 2254132032 is 2302314522.
It is an interprime number because it is at equal distance from previous prime (2254132007) and next prime (2254132057).
It is a super-2 number, since 2×22541320322 = 10162222435376898048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 2254131993 and 2254132011.
It is a congruent number.
It is an unprimeable number.
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, 164883 + ... + 178029.
Almost surely, 22254132032 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 2254132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206008320).
2254132032 is an abundant number, since it is smaller than the sum of its proper divisors (4157884608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2254132032 is a wasteful number, since it uses less digits than its factorization.
2254132032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13228 (or 13218 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 24.
The square root of 2254132032 is about 47477.7003655400. The cubic root of 2254132032 is about 1311.1723537758.
Adding to 2254132032 its reverse (2302314522), we get a palindrome (4556446554).
The spelling of 2254132032 in words is "two billion, two hundred fifty-four million, one hundred thirty-two thousand, thirty-two".
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