Search a number
-
+
2201003231220 = 2232543328239713
BaseRepresentation
bin100000000001110110000…
…001000000011111110100
321210102011200212221222100
4200001312001000133310
5242030123311344340
64403043225502100
7315005624531313
oct40016601003764
97712150787870
102201003231220
11779492a424a2
122b669b641930
1312c727682391
1478759cc027a
153c3be570830
hex200760407f4

2201003231220 has 72 divisors (see below), whose sum is σ = 6691795588296. Its totient is φ = 585578668032.

The previous prime is 2201003231191. The next prime is 2201003231237. The reversal of 2201003231220 is 221323001022.

2201003231220 is a `hidden beast` number, since 2 + 20 + 100 + 323 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 711608976 + 2200291622244 = 26676^2 + 1483338^2 .

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 = 2201003231193 and 2201003231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14041917 + ... + 14197796.

It is an arithmetic number, because the mean of its divisors is an integer number (92941605393).

Almost surely, 22201003231220 is an apocalyptic number.

2201003231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201003231220 is an abundant number, since it is smaller than the sum of its proper divisors (4490792357076).

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

2201003231220 is a wasteful number, since it uses less digits than its factorization.

2201003231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28240161 (or 28240156 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2201003231220 its reverse (221323001022), we get a palindrome (2422326232242).

The spelling of 2201003231220 in words is "two trillion, two hundred one billion, three million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 433 866 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 12990 15588 19485 25980 38970 77940 28239713 56479426 84719139 112958852 141198565 169438278 254157417 282397130 338876556 423595695 508314834 564794260 847191390 1016629668 1270787085 1694382780 2541574170 5083148340 12227795729 24455591458 36683387187 48911182916 61138978645 73366774374 110050161561 122277957290 146733548748 183416935935 220100323122 244555914580 366833871870 440200646244 550250807805 733667743740 1100501615610 2201003231220