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22135345146 = 234254353731
BaseRepresentation
bin10100100111010111…
…101000111111111010
32010010122120001010000
4110213113220333322
5330313122021041
614100245133430
71412351220645
oct244727507772
963118501100
1022135345146
119429909482
1243590ba276
132119bbc685
1410ddb32a5c
15898465bb6
hex5275e8ffa

22135345146 has 40 divisors (see below), whose sum is σ = 49619997504. Its totient is φ = 7375409640.

The previous prime is 22135345123. The next prime is 22135345151. The reversal of 22135345146 is 64154353122.

22135345146 is a `hidden beast` number, since 2 + 2 + 135 + 3 + 4 + 514 + 6 = 666.

It is a super-2 number, since 2×221353451462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22135345146.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 385101 + ... + 438831.

Almost surely, 222135345146 is an apocalyptic number.

22135345146 is an abundant number, since it is smaller than the sum of its proper divisors (27484652358).

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

22135345146 is a wasteful number, since it uses less digits than its factorization.

22135345146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56288 (or 56279 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 22135345146 its reverse (64154353122), we get a palindrome (86289698268).

The spelling of 22135345146 in words is "twenty-two billion, one hundred thirty-five million, three hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 2543 5086 7629 15258 22887 45774 53731 68661 107462 137322 161193 205983 322386 411966 483579 967158 1450737 2901474 4352211 8704422 136637933 273275866 409913799 819827598 1229741397 2459482794 3689224191 7378448382 11067672573 22135345146