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20331230220 = 22325733747881
BaseRepresentation
bin10010111011110101…
…011111010000001100
31221110220210111200200
4102323311133100030
5313114243331340
613201240453500
71316553414450
oct227365372014
957426714620
1020331230220
1186934a4204
123b34a7a290
131bc01bb652
14dac2a8660
157ded98330
hex4bbd5f40c

20331230220 has 144 divisors (see below), whose sum is σ = 70692218688. Its totient is φ = 4633251840.

The previous prime is 20331230207. The next prime is 20331230237. The reversal of 20331230220 is 2203213302.

It is a happy number.

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 = 20331230193 and 20331230202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400680 + ... + 448560.

Almost surely, 220331230220 is an apocalyptic number.

20331230220 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 20331230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35346109344).

20331230220 is an abundant number, since it is smaller than the sum of its proper divisors (50360988468).

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

20331230220 is a wasteful number, since it uses less digits than its factorization.

20331230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48240 (or 48235 counting only the distinct ones).

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

Adding to 20331230220 its reverse (2203213302), we get a palindrome (22534443522).

The spelling of 20331230220 in words is "twenty billion, three hundred thirty-one million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 337 420 630 674 1011 1260 1348 1685 2022 2359 3033 3370 4044 4718 5055 6066 6740 7077 9436 10110 11795 12132 14154 15165 20220 21231 23590 28308 30330 35385 42462 47180 47881 60660 70770 84924 95762 106155 141540 143643 191524 212310 239405 287286 335167 424620 430929 478810 574572 670334 718215 861858 957620 1005501 1340668 1436430 1675835 1723716 2011002 2154645 2872860 3016503 3351670 4022004 4309290 5027505 6033006 6703340 8618580 10055010 12066012 15082515 16135897 20110020 30165030 32271794 48407691 60330060 64543588 80679485 96815382 112951279 145223073 161358970 193630764 225902558 242038455 290446146 322717940 338853837 451805116 484076910 564756395 580892292 677707674 726115365 968153820 1016561511 1129512790 1355415348 1452230730 1694269185 2033123022 2259025580 2904461460 3388538370 4066246044 5082807555 6777076740 10165615110 20331230220