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22265313246 = 232111015212137
BaseRepresentation
bin10100101111000111…
…011011011111011110
32010110201010002211100
4110233013123133132
5331044410010441
614121210533530
71415520016461
oct245707333736
963421102740
1022265313246
119496209430
1243947372a6
13213aac6787
1411130c52d8
158a4a89cb6
hex52f1db7de

22265313246 has 96 divisors (see below), whose sum is σ = 53275094496. Its totient is φ = 6664320000.

The previous prime is 22265313233. The next prime is 22265313247. The reversal of 22265313246 is 64231356222.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22265313246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22265313247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10417890 + ... + 10420026.

It is an arithmetic number, because the mean of its divisors is an integer number (554948901).

Almost surely, 222265313246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22265313246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26637547248).

22265313246 is an abundant number, since it is smaller than the sum of its proper divisors (31009781250).

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

22265313246 is a wasteful number, since it uses less digits than its factorization.

22265313246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2775 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 22265313246 its reverse (64231356222), we get a palindrome (86496669468).

The spelling of 22265313246 in words is "twenty-two billion, two hundred sixty-five million, three hundred thirteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 521 606 909 1042 1111 1563 1818 2137 2222 3126 3333 4274 4689 5731 6411 6666 9378 9999 11462 12822 17193 19233 19998 23507 34386 38466 47014 51579 52621 70521 103158 105242 141042 157863 211563 215837 315726 423126 431674 473589 578831 647511 947178 1113377 1157662 1295022 1736493 1942533 2226754 2374207 3340131 3472986 3885066 4748414 5209479 6680262 7122621 10020393 10418958 12247147 14245242 20040786 21367863 24494294 36741441 42735726 73482882 110224323 112451077 220448646 224902154 337353231 674706462 1012059693 1236961847 2024119386 2473923694 3710885541 7421771082 11132656623 22265313246