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20213330220 = 2233575149843
BaseRepresentation
bin10010110100110011…
…101111000100101100
31221011200221120022000
4102310303233010230
5312344103031340
613141425452300
71313622320616
oct226463570454
957150846260
1020213330220
118632997196
123b014a1090
131ba194b535
14d9a777db6
157d4859d30
hex4b4cef12c

20213330220 has 96 divisors (see below), whose sum is σ = 62970915840. Its totient is φ = 5382936000.

The previous prime is 20213330213. The next prime is 20213330227. The reversal of 20213330220 is 2203331202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20213330213) and next prime (20213330227).

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 = 20213330193 and 20213330202.

It is not an unprimeable number, because it can be changed into a prime (20213330227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380619 + ... + 430461.

It is an arithmetic number, because the mean of its divisors is an integer number (655947040).

Almost surely, 220213330220 is an apocalyptic number.

20213330220 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 20213330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31485457920).

20213330220 is an abundant number, since it is smaller than the sum of its proper divisors (42757585620).

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

20213330220 is a wasteful number, since it uses less digits than its factorization.

20213330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50612 (or 50604 counting only the distinct ones).

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

Adding to 20213330220 its reverse (2203331202), we get a palindrome (22416661422).

The spelling of 20213330220 in words is "twenty billion, two hundred thirteen million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 751 1502 2253 3004 3755 4506 6759 7510 9012 11265 13518 15020 20277 22530 27036 33795 40554 45060 49843 67590 81108 99686 101385 135180 149529 199372 202770 249215 299058 405540 448587 498430 598116 747645 897174 996860 1345761 1495290 1794348 2242935 2691522 2990580 4485870 5383044 6728805 8971740 13457610 26915220 37432093 74864186 112296279 149728372 187160465 224592558 336888837 374320930 449185116 561481395 673777674 748641860 1010666511 1122962790 1347555348 1684444185 2021333022 2245925580 3368888370 4042666044 5053332555 6737776740 10106665110 20213330220