Search a number
-
+
22414440330 = 23251714649961
BaseRepresentation
bin10100111000000000…
…010011011110001010
32010212002201112201200
4110320000103132022
5331401044042310
614144055125030
71422310412352
oct247000233612
963762645650
1022414440330
119562404857
124416673776
13216297b259
141128c23b62
158b2be59c0
hex53801378a

22414440330 has 48 divisors (see below), whose sum is σ = 61705639944. Its totient is φ = 5625584640.

The previous prime is 22414440311. The next prime is 22414440337. The reversal of 22414440330 is 3304441422.

It is a happy number.

22414440330 is a `hidden beast` number, since 224 + 1 + 4 + 4 + 403 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19521398961 + 2893041369 = 139719^2 + 53787^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22414440294 and 22414440303.

It is not an unprimeable number, because it can be changed into a prime (22414440337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7323451 + ... + 7326510.

Almost surely, 222414440330 is an apocalyptic number.

22414440330 is an abundant number, since it is smaller than the sum of its proper divisors (39291199614).

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

22414440330 is a wasteful number, since it uses less digits than its factorization.

22414440330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14649991 (or 14649988 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22414440330 its reverse (3304441422), we get a palindrome (25718881752).

The spelling of 22414440330 in words is "twenty-two billion, four hundred fourteen million, four hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 14649961 29299922 43949883 73249805 87899766 131849649 146499610 219749415 249049337 263699298 439498830 498098674 659248245 747148011 1245246685 1318496490 1494296022 2241444033 2490493370 3735740055 4482888066 7471480110 11207220165 22414440330