Base | Representation |
---|---|
bin | 1000010110001100… |
… | …1111111011010000 |
3 | 12210011002210002120 |
4 | 2011203033323100 |
5 | 14042044010000 |
6 | 1010200014240 |
7 | 106344604446 |
oct | 20543177320 |
9 | 5704083076 |
10 | 2240610000 |
11 | a4a847502 |
12 | 526461380 |
13 | 29927ca45 |
14 | 17380cb96 |
15 | d1a8e6a0 |
hex | 858cfed0 |
2240610000 has 100 divisors (see below), whose sum is σ = 7233084672. Its totient is φ = 597488000.
The previous prime is 2240609993. The next prime is 2240610007. The reversal of 2240610000 is 160422.
2240610000 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 (2240609993) and next prime (2240610007).
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2240610007) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7344 + ... + 67343.
Almost surely, 22240610000 is an apocalyptic number.
2240610000 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 2240610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616542336).
2240610000 is an abundant number, since it is smaller than the sum of its proper divisors (4992474672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2240610000 is an equidigital number, since it uses as much as digits as its factorization.
2240610000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74718 (or 74697 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2240610000 is about 47335.0821273186. The cubic root of 2240610000 is about 1308.5452841559.
Adding to 2240610000 its reverse (160422), we get a palindrome (2240770422).
The spelling of 2240610000 in words is "two billion, two hundred forty million, six hundred ten thousand".
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