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2223000013 = 13171000001
BaseRepresentation
bin1000010010000000…
…0100100111001101
312201220222002201211
42010200010213031
514023042000023
61004330334421
7106042121413
oct20440044715
95656862654
102223000013
11a409098a3
1252058a411
13295725430
141713472b3
15d0261a0d
hex848049cd

2223000013 has 4 divisors (see below), whose sum is σ = 2394000028. Its totient is φ = 2052000000.

The previous prime is 2222999971. The next prime is 2223000023. The reversal of 2223000013 is 3100003222.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3100003222 = 21550001611.

It can be written as a sum of positive squares in 2 ways, for example, as 1517725764 + 705274249 = 38958^2 + 26557^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223000013 - 213 = 2222991821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 171000001 = 2223000013 / (2 + 2 + 2 + 3 + 0 + 0 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2222999957 and 2223000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85499988 + ... + 85500013.

It is an arithmetic number, because the mean of its divisors is an integer number (598500007).

Almost surely, 22223000013 is an apocalyptic number.

It is an amenable number.

2223000013 is a deficient number, since it is larger than the sum of its proper divisors (171000015).

2223000013 is a wasteful number, since it uses less digits than its factorization.

2223000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171000014.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2223000013 is about 47148.7010743668. The cubic root of 2223000013 is about 1305.1081100280.

Adding to 2223000013 its reverse (3100003222), we get a palindrome (5323003235).

The spelling of 2223000013 in words is "two billion, two hundred twenty-three million, thirteen", and thus it is an aban number.

Divisors: 1 13 171000001 2223000013