Search a number
-
+
2221302033 = 32594183243
BaseRepresentation
bin1000010001100110…
…0110000100010001
312201210202211112200
42010121212010101
514022123131113
61004230113413
7106021520136
oct20431460421
95653684480
102221302033
11a3a95a105
1251baab869
1329527c602
1417102458d
15d0028873
hex84666111

2221302033 has 12 divisors (see below), whose sum is σ = 3262930320. Its totient is φ = 1455768216.

The previous prime is 2221302029. The next prime is 2221302043. The reversal of 2221302033 is 3302031222.

It is a happy number.

It is not a de Polignac number, because 2221302033 - 22 = 2221302029 is a prime.

It is a super-3 number, since 3×22213020333 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221301997 and 2221302015.

It is not an unprimeable number, because it can be changed into a prime (2221302043) 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 11 ways as a sum of consecutive naturals, for example, 2091091 + ... + 2092152.

It is an arithmetic number, because the mean of its divisors is an integer number (271910860).

Almost surely, 22221302033 is an apocalyptic number.

It is an amenable number.

2221302033 is a deficient number, since it is larger than the sum of its proper divisors (1041628287).

2221302033 is a wasteful number, since it uses less digits than its factorization.

2221302033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183308 (or 4183305 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2221302033 is about 47130.6909879327. The cubic root of 2221302033 is about 1304.7757345716.

Adding to 2221302033 its reverse (3302031222), we get a palindrome (5523333255).

The spelling of 2221302033 in words is "two billion, two hundred twenty-one million, three hundred two thousand, thirty-three".

Divisors: 1 3 9 59 177 531 4183243 12549729 37649187 246811337 740434011 2221302033