Search a number
-
+
2246710221 = 327250910009
BaseRepresentation
bin1000010111101010…
…0001001111001101
312210120120201000200
42011322201033031
514100124211341
61010534444113
7106450502400
oct20572411715
95716521020
102246710221
11a53233708
12528503639
1329a607542
14174559d37
15d2396db6
hex85ea13cd

2246710221 has 36 divisors (see below), whose sum is σ = 3782879100. Its totient is φ = 1281184128.

The previous prime is 2246710201. The next prime is 2246710231. The reversal of 2246710221 is 1220176422.

2246710221 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2105433225 + 141276996 = 45885^2 + 11886^2 .

It is not a de Polignac number, because 2246710221 - 211 = 2246708173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246710201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219465 + ... + 229473.

It is an arithmetic number, because the mean of its divisors is an integer number (105079975).

Almost surely, 22246710221 is an apocalyptic number.

2246710221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2246710221 is a deficient number, since it is larger than the sum of its proper divisors (1536168879).

2246710221 is a wasteful number, since it uses less digits than its factorization.

2246710221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2246710221 is about 47399.4749021548. The cubic root of 2246710221 is about 1309.7317441120.

Adding to 2246710221 its reverse (1220176422), we get a palindrome (3466886643).

The spelling of 2246710221 in words is "two billion, two hundred forty-six million, seven hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 509 1527 3563 4581 10009 10689 24941 30027 32067 70063 74823 90081 210189 224469 490441 630567 1471323 4413969 5094581 15283743 35662067 45851229 106986201 249634469 320958603 748903407 2246710221