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222241241001 = 31322988717041
BaseRepresentation
bin1100111011111010011…
…1000011011110101001
3210020122101002210102010
43032332213003132221
512120122224203001
6250032441030133
722025226244143
oct3167647033651
9706571083363
10222241241001
118628542880a
12370a4185349
1317c5a137b00
14aa83cdbc93
155baad568d6
hex33be9c37a9

222241241001 has 48 divisors (see below), whose sum is σ = 332327180160. Its totient is φ = 131891235840.

The previous prime is 222241240951. The next prime is 222241241029. The reversal of 222241241001 is 100142142222.

It is a de Polignac number, because none of the positive numbers 2k-222241241001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222241241051) 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, 13033041 + ... + 13050081.

It is an arithmetic number, because the mean of its divisors is an integer number (6923482920).

Almost surely, 2222241241001 is an apocalyptic number.

It is an amenable number.

222241241001 is a deficient number, since it is larger than the sum of its proper divisors (110085939159).

222241241001 is a wasteful number, since it uses less digits than its factorization.

222241241001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17986 (or 17973 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 222241241001 its reverse (100142142222), we get a palindrome (322383383223).

The spelling of 222241241001 in words is "two hundred twenty-two billion, two hundred forty-one million, two hundred forty-one thousand, one".

Divisors: 1 3 13 29 39 87 169 377 507 887 1131 2661 4901 11531 14703 17041 25723 34593 51123 77169 149903 221533 334399 449709 494189 664599 1003197 1482567 2879929 4347187 6424457 8639787 13041561 15115367 19273371 45346101 83517941 196499771 250553823 438345643 589499313 1315036929 2554497023 5698493359 7663491069 17095480077 74080413667 222241241001