Search a number
-
+
20312200220 = 22513235957571
BaseRepresentation
bin10010111010101100…
…111001010000011100
31221102120222200102212
4102322230321100130
5313044410401340
613155320535552
71316232565424
oct227254712034
957376880385
1020312200220
118683786734
123b2a6215b8
131bb92878b0
14da9953484
157dd389a65
hex4bab3941c

20312200220 has 96 divisors (see below), whose sum is σ = 48747363840. Its totient is φ = 7052094720.

The previous prime is 20312200201. The next prime is 20312200247. The reversal of 20312200220 is 2200221302.

It is a junction number, because it is equal to n+sod(n) for n = 20312200195 and 20312200204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324035 + ... + 381605.

It is an arithmetic number, because the mean of its divisors is an integer number (507785040).

Almost surely, 220312200220 is an apocalyptic number.

20312200220 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 20312200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373681920).

20312200220 is an abundant number, since it is smaller than the sum of its proper divisors (28435163620).

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

20312200220 is a wasteful number, since it uses less digits than its factorization.

20312200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57675 (or 57673 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20312200220 its reverse (2200221302), we get a palindrome (22512421522).

The spelling of 20312200220 in words is "twenty billion, three hundred twelve million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 59 65 92 115 118 130 230 236 260 295 299 460 590 598 767 1180 1196 1357 1495 1534 2714 2990 3068 3835 5428 5980 6785 7670 13570 15340 17641 27140 35282 57571 70564 88205 115142 176410 230284 287855 352820 575710 748423 1151420 1324133 1496846 2648266 2993692 3396689 3742115 5296532 6620665 6793378 7484230 13241330 13586756 14968460 16983445 17213729 26482660 33966890 34427458 44156957 67933780 68854916 78123847 86068645 88313914 156247694 172137290 176627828 220784785 312495388 344274580 390619235 441569570 781238470 883139140 1015610011 1562476940 2031220022 4062440044 5078050055 10156100110 20312200220