Search a number
-
+
2221212211220 = 225431839307129
BaseRepresentation
bin100000010100101010100…
…100001001100000010100
321212100100002122111220002
4200110222210021200110
5242343020311224340
64420224422230432
7316322465163332
oct40245244114024
97770302574802
102221212211220
11787013428262
122ba59b585418
131315c8439802
1479715c44b52
153cba381b715
hex2052a909814

2221212211220 has 48 divisors (see below), whose sum is σ = 4680956044800. Its totient is φ = 885364028160.

The previous prime is 2221212211213. The next prime is 2221212211249. The reversal of 2221212211220 is 221122121222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221212211192 and 2221212211201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7078616 + ... + 7385744.

It is an arithmetic number, because the mean of its divisors is an integer number (97519917600).

Almost surely, 22221212211220 is an apocalyptic number.

2221212211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221212211220 is an abundant number, since it is smaller than the sum of its proper divisors (2459743833580).

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

2221212211220 is a wasteful number, since it uses less digits than its factorization.

2221212211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308408 (or 308406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2221212211220 its reverse (221122121222), we get a palindrome (2442334332442).

The spelling of 2221212211220 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 431 839 862 1678 1724 2155 3356 4195 4310 8390 8620 16780 307129 361609 614258 723218 1228516 1446436 1535645 1808045 3071290 3616090 6142580 7232180 132372599 257681231 264745198 515362462 529490396 661862995 1030724924 1288406155 1323725990 2576812310 2647451980 5153624620 111060610561 222121221122 444242442244 555303052805 1110606105610 2221212211220