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12222022230 = 23351110339953
BaseRepresentation
bin10110110000111110…
…10100001001010110
31011112202220001121000
423120133110021112
5200012314202410
65340440204130
7611605321605
oct133037241126
934482801530
1012222022230
115202016220
122451169646
1311ca15c822
1483d2d3a3c
154b7ec9dc0
hex2d87d4256

12222022230 has 128 divisors (see below), whose sum is σ = 35901066240. Its totient is φ = 2934074880.

The previous prime is 12222022207. The next prime is 12222022231. The reversal of 12222022230 is 3222022221.

12222022230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122220222302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222022231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285934 + ... + 325886.

It is an arithmetic number, because the mean of its divisors is an integer number (280477080).

Almost surely, 212222022230 is an apocalyptic number.

12222022230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222022230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950533120).

12222022230 is an abundant number, since it is smaller than the sum of its proper divisors (23679044010).

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

12222022230 is a wasteful number, since it uses less digits than its factorization.

12222022230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40083 (or 40077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12222022230 its reverse (3222022221), we get a palindrome (15444044451).

Subtracting from 12222022230 its reverse (3222022221), we obtain a palindrome (9000000009).

The spelling of 12222022230 in words is "twelve billion, two hundred twenty-two million, twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 103 110 135 165 198 206 270 297 309 330 495 515 594 618 927 990 1030 1133 1485 1545 1854 2266 2781 2970 3090 3399 4635 5562 5665 6798 9270 10197 11330 13905 16995 20394 27810 30591 33990 39953 50985 61182 79906 101970 119859 152955 199765 239718 305910 359577 399530 439483 599295 719154 878966 1078731 1198590 1318449 1797885 2157462 2197415 2636898 3595770 3955347 4115159 4394830 5393655 6592245 7910694 8230318 10787310 11866041 12345477 13184490 19776735 20575795 23732082 24690954 37036431 39553470 41151590 45266749 59330205 61727385 74072862 90533498 111109293 118660410 123454770 135800247 185182155 222218586 226333745 271600494 370364310 407400741 452667490 555546465 679001235 814801482 1111092930 1222202223 1358002470 2037003705 2444404446 4074007410 6111011115 12222022230