Base | Representation |
---|---|
bin | 1000010111100100… |
… | …0101010001100100 |
3 | 12210112212120022112 |
4 | 2011321011101210 |
5 | 14100030133130 |
6 | 1010522420152 |
7 | 106444343243 |
oct | 20571052144 |
9 | 5715776275 |
10 | 2246333540 |
11 | a52aa6700 |
12 | 528361658 |
13 | 29a504c59 |
14 | 17449c95a |
15 | d2320495 |
hex | 85e45464 |
2246333540 has 72 divisors (see below), whose sum is σ = 5270480376. Its totient is φ = 803404800.
The previous prime is 2246333519. The next prime is 2246333569. The reversal of 2246333540 is 453336422.
It can be written as a sum of positive squares in 4 ways, for example, as 103754596 + 2142578944 = 10186^2 + 46288^2 .
It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 2246333497 and 2246333506.
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 23 ways as a sum of consecutive naturals, for example, 140012 + ... + 155228.
Almost surely, 22246333540 is an apocalyptic number.
2246333540 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 2246333540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635240188).
2246333540 is an abundant number, since it is smaller than the sum of its proper divisors (3024146836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2246333540 is a wasteful number, since it uses less digits than its factorization.
2246333540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15309 (or 15296 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 32.
The square root of 2246333540 is about 47395.5012633056. The cubic root of 2246333540 is about 1309.6585439528.
Adding to 2246333540 its reverse (453336422), we get a palindrome (2699669962).
The spelling of 2246333540 in words is "two billion, two hundred forty-six million, three hundred thirty-three thousand, five hundred forty".
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