Search a number
-
+
331222221306 = 2345773543469
BaseRepresentation
bin1001101000111100110…
…00100000000111111010
31011122221110001012120000
410310132120200013322
520411320342040211
6412054505413430
732633665266534
oct4643630400772
91148843035500
10331222221306
1111851a344289
125423979a276
1325307498682
1412061a22854
158938762656
hex4d1e6201fa

331222221306 has 40 divisors (see below), whose sum is σ = 743469614580. Its totient is φ = 110216028672.

The previous prime is 331222221301. The next prime is 331222221307. The reversal of 331222221306 is 603122222133.

331222221306 is a `hidden beast` number, since 3 + 312 + 2 + 22 + 21 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 299930380281 + 31291841025 = 547659^2 + 176895^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 331222221306.

It is not an unprimeable number, because it can be changed into a prime (331222221301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1678261 + ... + 1865208.

Almost surely, 2331222221306 is an apocalyptic number.

331222221306 is an abundant number, since it is smaller than the sum of its proper divisors (412247393274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331222221306 is a wasteful number, since it uses less digits than its factorization.

331222221306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544060 (or 3544051 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 331222221306 its reverse (603122222133), we get a palindrome (934344443439).

The spelling of 331222221306 in words is "three hundred thirty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 577 1154 1731 3462 5193 10386 15579 31158 46737 93474 3543469 7086938 10630407 21260814 31891221 63782442 95673663 191347326 287020989 574041978 2044581613 4089163226 6133744839 12267489678 18401234517 36802469034 55203703551 110407407102 165611110653 331222221306