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20002330320 = 2435765318233
BaseRepresentation
bin10010101000001110…
…110101011011010000
31220121222220122211220
4102220032311123100
5311431044032240
613104451205040
71305451000560
oct225016653320
956558818756
1020002330320
118534880905
123a628a6780
131b6a01251b
14d7a730da0
157c107b5d0
hex4a83b56d0

20002330320 has 160 divisors (see below), whose sum is σ = 70977814272. Its totient is φ = 4564709376.

The previous prime is 20002330279. The next prime is 20002330333. The reversal of 20002330320 is 2303320002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20002330320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087924 + ... + 1106156.

Almost surely, 220002330320 is an apocalyptic number.

20002330320 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 20002330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35488907136).

20002330320 is an abundant number, since it is smaller than the sum of its proper divisors (50975483952).

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

20002330320 is a wasteful number, since it uses less digits than its factorization.

20002330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18909 (or 18903 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 20002330320 its reverse (2303320002), we get a palindrome (22305650322).

The spelling of 20002330320 in words is "twenty billion, two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 653 840 1306 1680 1959 2612 3265 3918 4571 5224 6530 7836 9142 9795 10448 13060 13713 15672 18233 18284 19590 22855 26120 27426 31344 36466 36568 39180 45710 52240 54699 54852 68565 72932 73136 78360 91165 91420 109398 109704 127631 137130 145864 156720 182330 182840 218796 219408 255262 273495 274260 291728 364660 365680 382893 437592 510524 546990 548520 638155 729320 765786 875184 1021048 1093980 1097040 1276310 1458640 1531572 1914465 2042096 2187960 2552620 3063144 3828930 4375920 5105240 6126288 7657860 10210480 11906149 15315720 23812298 30631440 35718447 47624596 59530745 71436894 83343043 95249192 119061490 142873788 166686086 178592235 190498384 238122980 250029129 285747576 333372172 357184470 416715215 476245960 500058258 571495152 666744344 714368940 833430430 952491920 1000116516 1250145645 1333488688 1428737880 1666860860 2000233032 2500291290 2857475760 3333721720 4000466064 5000582580 6667443440 10001165160 20002330320