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20330223100 = 225211413531277
BaseRepresentation
bin10010111011110001…
…101001010111111100
31221110211220100011221
4102323301221113330
5313114014114400
613201203123124
71316542021315
oct227361512774
957424810157
1020330223100
118692976580
123b346734a4
131bbcc28115
14dac0c560c
157dec49c1a
hex4bbc695fc

20330223100 has 144 divisors (see below), whose sum is σ = 49479395616. Its totient is φ = 7186432000.

The previous prime is 20330223083. The next prime is 20330223131. The reversal of 20330223100 is 132203302.

It is a super-2 number, since 2×203302231002 (a number of 21 digits) contains 22 as substring.

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, 15919662 + ... + 15920938.

It is an arithmetic number, because the mean of its divisors is an integer number (343606914).

Almost surely, 220330223100 is an apocalyptic number.

20330223100 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 20330223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24739697808).

20330223100 is an abundant number, since it is smaller than the sum of its proper divisors (29149172516).

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

20330223100 is a wasteful number, since it uses less digits than its factorization.

20330223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20330223100 its reverse (132203302), we get a palindrome (20462426402).

The spelling of 20330223100 in words is "twenty billion, three hundred thirty million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 353 410 451 550 706 820 902 1025 1100 1277 1412 1765 1804 2050 2255 2554 3530 3883 4100 4510 5108 6385 7060 7766 8825 9020 11275 12770 14047 14473 15532 17650 19415 22550 25540 28094 28946 31925 35300 38830 45100 52357 56188 57892 63850 70235 72365 77660 97075 104714 127700 140470 144730 159203 194150 209428 261785 280940 289460 318406 351175 361825 388300 450781 523570 575927 636812 702350 723650 796015 901562 1047140 1151854 1308925 1404700 1447300 1592030 1803124 2253905 2303708 2617850 2879635 3184060 3980075 4507810 4958591 5235700 5759270 7960150 9015620 9917182 11269525 11518540 14398175 15920300 18482021 19834364 22539050 24792955 28796350 36964042 45078100 49585910 57592700 73928084 92410105 99171820 123964775 184820210 203302231 247929550 369640420 406604462 462050525 495859100 813208924 924101050 1016511155 1848202100 2033022310 4066044620 5082555775 10165111550 20330223100