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20330312220 = 223251014572447
BaseRepresentation
bin10010111011110001…
…111111001000011100
31221110212001212102200
4102323301333020130
5313114024442340
613201205051500
71316542542201
oct227361771034
957425055380
1020330312220
118692a27529
123b346b6b90
131bbcc5985a
14dac109ca8
157dec66330
hex4bbc7f21c

20330312220 has 144 divisors (see below), whose sum is σ = 62440979328. Its totient is φ = 5353804800.

The previous prime is 20330312203. The next prime is 20330312231. The reversal of 20330312220 is 2221303302.

It is a happy number.

20330312220 is a `hidden beast` number, since 2 + 0 + 330 + 312 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20330312193 and 20330312202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8307037 + ... + 8309483.

It is an arithmetic number, because the mean of its divisors is an integer number (433617912).

Almost surely, 220330312220 is an apocalyptic number.

20330312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31220489664).

20330312220 is an abundant number, since it is smaller than the sum of its proper divisors (42110667108).

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

20330312220 is a wasteful number, since it uses less digits than its factorization.

20330312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3015 counting only the distinct ones).

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

Adding to 20330312220 its reverse (2221303302), we get a palindrome (22551615522).

The spelling of 20330312220 in words is "twenty billion, three hundred thirty million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 457 505 606 909 914 1010 1212 1371 1515 1818 1828 2020 2285 2447 2742 3030 3636 4113 4545 4570 4894 5484 6060 6855 7341 8226 9090 9140 9788 12235 13710 14682 16452 18180 20565 22023 24470 27420 29364 36705 41130 44046 46157 48940 73410 82260 88092 92314 110115 138471 146820 184628 220230 230785 247147 276942 415413 440460 461570 494294 553884 692355 741441 830826 923140 988588 1118279 1235735 1384710 1482882 1661652 2077065 2224323 2236558 2471470 2769420 2965764 3354837 3707205 4154130 4448646 4473116 4942940 5591395 6709674 7414410 8308260 8897292 10064511 11121615 11182790 13419348 14828820 16774185 20129022 22243230 22365580 33548370 40258044 44486460 50322555 67096740 100645110 112946179 201290220 225892358 338838537 451784716 564730895 677677074 1016515611 1129461790 1355354148 1694192685 2033031222 2258923580 3388385370 4066062444 5082578055 6776770740 10165156110 20330312220