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22230440001 = 32721113033517
BaseRepresentation
bin10100101101000010…
…011001100001000001
32010101021111100201200
4110231002121201001
5331011443040001
614113523251413
71414614423300
oct245502314101
963337440650
1022230440001
11947855a670
124384b19b69
132133806613
14110c608437
158a199c086
hex52d099841

22230440001 has 72 divisors (see below), whose sum is σ = 40791801024. Its totient is φ = 11536136640.

The previous prime is 22230439999. The next prime is 22230440003. The reversal of 22230440001 is 10004403222.

22230440001 is a `hidden beast` number, since 2 + 223 + 0 + 440 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22230439999) and next prime (22230440003).

It is not a de Polignac number, because 22230440001 - 21 = 22230439999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22230440003) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6319095 + ... + 6322611.

It is an arithmetic number, because the mean of its divisors is an integer number (566552792).

Almost surely, 222230440001 is an apocalyptic number.

22230440001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22230440001 is a deficient number, since it is larger than the sum of its proper divisors (18561361023).

22230440001 is a wasteful number, since it uses less digits than its factorization.

22230440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22230440001 its reverse (10004403222), we get a palindrome (32234843223).

The spelling of 22230440001 in words is "twenty-two billion, two hundred thirty million, four hundred forty thousand, one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1303 1617 3517 3909 4851 9121 10551 11727 14333 24619 27363 31653 38687 42999 63847 73857 82089 100331 116061 128997 172333 191541 221571 270809 300993 348183 516999 574623 702317 812427 902979 1550997 1895663 2106951 2437281 4582651 5686989 6320853 13747953 17060967 32078557 41243859 50409161 96235671 151227483 224549899 288707013 352864127 453682449 673649697 1058592381 2020949091 2470048889 3175777143 7410146667 22230440001