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20220321330 = 23351131219619
BaseRepresentation
bin10010110101001110…
…011001111000110010
31221012012002202022000
4102311032121320302
5312402400240310
613142235354430
71314035616066
oct226516317062
957165082260
1020220321330
118636931770
123b038b2a16
131ba32286a1
14d9b677aa6
157d528b4c0
hex4b5399e32

20220321330 has 128 divisors (see below), whose sum is σ = 60720537600. Its totient is φ = 4743748800.

The previous prime is 20220321281. The next prime is 20220321353. The reversal of 20220321330 is 3312302202.

It is a happy number.

It is a super-2 number, since 2×202203213302 (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17740 + ... + 201879.

It is an arithmetic number, because the mean of its divisors is an integer number (474379200).

Almost surely, 220220321330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30360268800).

20220321330 is an abundant number, since it is smaller than the sum of its proper divisors (40500216270).

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

20220321330 is a wasteful number, since it uses less digits than its factorization.

20220321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219677 (or 219671 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20220321330 its reverse (3312302202), we get a palindrome (23532623532).

The spelling of 20220321330 in words is "twenty billion, two hundred twenty million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 465 495 558 594 682 837 930 990 1023 1395 1485 1674 1705 2046 2790 2970 3069 3410 4185 5115 6138 8370 9207 10230 15345 18414 30690 46035 92070 219619 439238 658857 1098095 1317714 1976571 2196190 2415809 3294285 3953142 4831618 5929713 6588570 6808189 7247427 9882855 11859426 12079045 13616378 14494854 19765710 20424567 21742281 24158090 29648565 34040945 36237135 40849134 43484562 59297130 61273701 65226843 68081890 72474270 74890079 102122835 108711405 122547402 130453686 149780158 183821103 204245670 217422810 224670237 306368505 326134215 367642206 374450395 449340474 612737010 652268430 674010711 748900790 919105515 1123351185 1348021422 1838211030 2022032133 2246702370 3370053555 4044064266 6740107110 10110160665 20220321330