Search a number
-
+
2221221234312 = 233267460452163
BaseRepresentation
bin100000010100101011000…
…110100100011010001000
321212100100201121221020200
4200110223012210122020
5242343030113444222
64420225343452200
7316322634653613
oct40245306443210
97770321557220
102221221234312
11787018530463
122ba5a25b7060
131315ca278812
147971711317a
153cba44eeeac
hex2052b1a4688

2221221234312 has 48 divisors (see below), whose sum is σ = 6105595694640. Its totient is φ = 729356224608.

The previous prime is 2221221234289. The next prime is 2221221234313. The reversal of 2221221234312 is 2134321221222.

2221221234312 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 221 + 2 + 3 + 431 + 2 = 666.

It is a super-2 number, since 2×22212212343122 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2221221234313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230221258 + ... + 230230905.

It is an arithmetic number, because the mean of its divisors is an integer number (127199910305).

Almost surely, 22221221234312 is an apocalyptic number.

It is an amenable number.

2221221234312 is an abundant number, since it is smaller than the sum of its proper divisors (3884374460328).

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

2221221234312 is a wasteful number, since it uses less digits than its factorization.

2221221234312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460452242 (or 460452235 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 2221221234312 its reverse (2134321221222), we get a palindrome (4355542455534).

The spelling of 2221221234312 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 460452163 920904326 1381356489 1841808652 2762712978 3683617304 4144069467 5525425956 8288138934 11050851912 16576277868 30850294921 33152555736 61700589842 92550884763 123401179684 185101769526 246802359368 277652654289 370203539052 555305308578 740407078104 1110610617156 2221221234312