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2232000013 = 9967223939
BaseRepresentation
bin1000010100001001…
…1001111000001101
312202112220100102011
42011002121320031
514032343000023
61005251301221
7106211454445
oct20502317015
95675810364
102232000013
11a459a6711
125235aa811
13297556a89
1417260b125
15d0e3d50d
hex85099e0d

2232000013 has 4 divisors (see below), whose sum is σ = 2232233920. Its totient is φ = 2231766108.

The previous prime is 2231999999. The next prime is 2232000019. The reversal of 2232000013 is 3100002322.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3100002322 = 21550001161.

It is a cyclic number.

It is not a de Polignac number, because 2232000013 - 213 = 2231991821 is a prime.

It is a super-3 number, since 3×22320000133 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2231999957 and 2232000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232000019) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 102003 + ... + 121936.

It is an arithmetic number, because the mean of its divisors is an integer number (558058480).

Almost surely, 22232000013 is an apocalyptic number.

It is an amenable number.

2232000013 is a deficient number, since it is larger than the sum of its proper divisors (233907).

2232000013 is an equidigital number, since it uses as much as digits as its factorization.

2232000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233906.

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

The square root of 2232000013 is about 47244.0473816543. The cubic root of 2232000013 is about 1306.8670179547.

Adding to 2232000013 its reverse (3100002322), we get a palindrome (5332002335).

The spelling of 2232000013 in words is "two billion, two hundred thirty-two million, thirteen", and thus it is an aban number.

Divisors: 1 9967 223939 2232000013