Search a number
-
+
3222301331 = 29199647863
BaseRepresentation
bin1100000000010000…
…0110101010010011
322022120022212102202
43000010012222103
523044402120311
61251425033415
7142565052344
oct30004065223
98276285382
103222301331
1114039a5757
1275b18586b
133c47795a2
14227d520cb
1513cd55e3b
hexc0106a93

3222301331 has 16 divisors (see below), whose sum is σ = 3359232000. Its totient is φ = 3087187488.

The previous prime is 3222301307. The next prime is 3222301361. The reversal of 3222301331 is 1331032223.

It is a cyclic number.

It is not a de Polignac number, because 3222301331 - 218 = 3222039187 is a prime.

It is a super-2 number, since 2×32223013312 = 20766451735528743122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3222301361) 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 15 ways as a sum of consecutive naturals, for example, 3733406 + ... + 3734268.

It is an arithmetic number, because the mean of its divisors is an integer number (209952000).

Almost surely, 23222301331 is an apocalyptic number.

3222301331 is a deficient number, since it is larger than the sum of its proper divisors (136930669).

3222301331 is a wasteful number, since it uses less digits than its factorization.

3222301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3222301331 is about 56765.3180295856. The cubic root of 3222301331 is about 1477.0279612045.

Adding to 3222301331 its reverse (1331032223), we get a palindrome (4553333554).

The spelling of 3222301331 in words is "three billion, two hundred twenty-two million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 29 199 647 863 5771 18763 25027 128753 171737 558361 3733837 4980373 16192469 111113839 3222301331