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22522322430 = 23352331116993
BaseRepresentation
bin10100111110011011…
…110101110111111110
32011010121201112011000
4110332123311313332
5332111203304210
614202511311130
71425060403416
oct247633656776
964117645130
1022522322430
11960829a213
12444681b4a6
13217c12160a
1411392a7646
158bc405ac0
hex53e6f5dfe

22522322430 has 128 divisors (see below), whose sum is σ = 64693002240. Its totient is φ = 5559459840.

The previous prime is 22522322419. The next prime is 22522322477. The reversal of 22522322430 is 3422322522.

22522322430 is a `hidden beast` number, since 2 + 2 + 5 + 223 + 2 + 2 + 430 = 666.

It is a super-2 number, since 2×225223224302 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22522322394 and 22522322403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134014 + ... + 251006.

It is an arithmetic number, because the mean of its divisors is an integer number (505414080).

Almost surely, 222522322430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22522322430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32346501120).

22522322430 is an abundant number, since it is smaller than the sum of its proper divisors (42170679810).

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

22522322430 is a wasteful number, since it uses less digits than its factorization.

22522322430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117063 (or 117057 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 22522322430 its reverse (3422322522), we get a palindrome (25944644952).

The spelling of 22522322430 in words is "twenty-two billion, five hundred twenty-two million, three hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 31 45 46 54 62 69 90 93 115 135 138 155 186 207 230 270 279 310 345 414 465 558 621 690 713 837 930 1035 1242 1395 1426 1674 2070 2139 2790 3105 3565 4185 4278 6210 6417 7130 8370 10695 12834 19251 21390 32085 38502 64170 96255 116993 192510 233986 350979 584965 701958 1052937 1169930 1754895 2105874 2690839 3158811 3509790 3626783 5264685 5381678 6317622 7253566 8072517 10529370 10880349 13454195 15794055 16145034 18133915 21760698 24217551 26908390 31588110 32641047 36267830 40362585 48435102 54401745 65282094 72652653 80725170 83416009 97923141 108803490 121087755 145305306 163205235 166832018 195846282 242175510 250248027 326410470 363263265 417080045 489615705 500496054 726526530 750744081 834160090 979231410 1251240135 1501488162 2252232243 2502480270 3753720405 4504464486 7507440810 11261161215 22522322430