Base | Representation |
---|---|
bin | 1000011000110011… |
… | …0011011010001000 |
3 | 12210220121012210220 |
4 | 2012030303122020 |
5 | 14102341100430 |
6 | 1011225310040 |
7 | 106536314250 |
oct | 20614633210 |
9 | 5726535726 |
10 | 2251503240 |
11 | a55a07788 |
12 | 52a035320 |
13 | 29b5c504c |
14 | 175046960 |
15 | d29e2110 |
hex | 86333688 |
2251503240 has 128 divisors (see below), whose sum is σ = 7771680000. Its totient is φ = 511147008.
The previous prime is 2251503187. The next prime is 2251503269. The reversal of 2251503240 is 423051522.
It is a super-3 number, since 3×22515032403 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 2251503240.
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 31 ways as a sum of consecutive naturals, for example, 116166 + ... + 134154.
It is an arithmetic number, because the mean of its divisors is an integer number (60716250).
Almost surely, 22251503240 is an apocalyptic number.
2251503240 is a gapful number since it is divisible by the number (20) 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 2251503240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885840000).
2251503240 is an abundant number, since it is smaller than the sum of its proper divisors (5520176760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2251503240 is a wasteful number, since it uses less digits than its factorization.
2251503240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18159 (or 18155 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 24.
The square root of 2251503240 is about 47450.0077976811. The cubic root of 2251503240 is about 1310.6624546052.
Adding to 2251503240 its reverse (423051522), we get a palindrome (2674554762).
The spelling of 2251503240 in words is "two billion, two hundred fifty-one million, five hundred three thousand, two hundred forty".
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