Search a number
-
+
2200202200020 = 22351129114953093
BaseRepresentation
bin100000000001000110010…
…001010100001111010100
321210100002212121100202010
4200001012101110033110
5242022003230400040
64402431532544220
7314650030061346
oct40010621241724
97710085540663
102200202200020
11779111867940
122b64b7322070
1312c62a72b016
14786c1767296
153c374092e80
hex200464543d4

2200202200020 has 96 divisors (see below), whose sum is σ = 6952363125120. Its totient is φ = 514989852160.

The previous prime is 2200202199967. The next prime is 2200202200043. The reversal of 2200202200020 is 200022020022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2200202199969 and 2200202200005.

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, 57457407 + ... + 57495686.

It is an arithmetic number, because the mean of its divisors is an integer number (72420449220).

Almost surely, 22200202200020 is an apocalyptic number.

2200202200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200202200020 is an abundant number, since it is smaller than the sum of its proper divisors (4752160925100).

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

2200202200020 is a wasteful number, since it uses less digits than its factorization.

2200202200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114953145 (or 114953143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2200202200020 its reverse (200022020022), we get a palindrome (2400224220042).

The spelling of 2200202200020 in words is "two trillion, two hundred billion, two hundred two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 19140 114953093 229906186 344859279 459812372 574765465 689718558 1149530930 1264484023 1379437116 1724296395 2299061860 2528968046 3333639697 3448592790 3793452069 5057936092 6322420115 6667279394 6897185580 7586904138 10000919091 12644840230 13334558788 15173808276 16668198485 18967260345 20001838182 25289680460 33336396970 36670036667 37934520690 40003676364 50004595455 66672793940 73340073334 75869041380 100009190910 110010110001 146680146668 183350183335 200018381820 220020220002 366700366670 440040440004 550050550005 733400733340 1100101100010 2200202200020