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1222232211333 = 33723724968483
BaseRepresentation
bin10001110010010010101…
…101110111111110000101
311022211210110112110112000
4101302102231313332011
5130011112421230313
62333252530015513
7154206024244500
oct21622255677605
94284713473460
101222232211333
11431389246571
12178a63117599
138b343591643
1443229074137
1521bd68d7673
hex11c92b77f85

1222232211333 has 48 divisors (see below), whose sum is σ = 2163269453760. Its totient is φ = 679542206112.

The previous prime is 1222232211301. The next prime is 1222232211341. The reversal of 1222232211333 is 3331122322221.

1222232211333 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 322 + 1 + 1 + 333 = 666.

It is not a de Polignac number, because 1222232211333 - 25 = 1222232211301 is a prime.

It is a super-4 number, since 4×12222322113334 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1222232211297 and 1222232211306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222232219333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12435291 + ... + 12533192.

It is an arithmetic number, because the mean of its divisors is an integer number (45068113620).

Almost surely, 21222232211333 is an apocalyptic number.

It is an amenable number.

1222232211333 is a deficient number, since it is larger than the sum of its proper divisors (941037242427).

1222232211333 is a wasteful number, since it uses less digits than its factorization.

1222232211333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24968543 (or 24968530 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 1222232211333 its reverse (3331122322221), we get a palindrome (4553354533554).

The spelling of 1222232211333 in words is "one trillion, two hundred twenty-two billion, two hundred thirty-two million, two hundred eleven thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 37 49 63 111 147 189 259 333 441 777 999 1323 1813 2331 5439 6993 16317 48951 24968483 74905449 174779381 224716347 524338143 674149041 923833871 1223455667 1573014429 2771501613 3670367001 4719043287 6466837097 8314504839 11011101003 19400511291 24943514517 33033303009 45267859679 58201533873 135803579037 174604601619 407410737111 1222232211333