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221225121260 = 225111377351441
BaseRepresentation
bin1100111000001000001…
…0110111010111101100
3210011000120002120011122
43032002002313113230
512111032112340020
6245343542040112
721661110335003
oct3160202672754
9704016076148
10221225121260
11859038a4a30
1236a5ba19038
1317b27775720
14a9c8d95c3a
155b4ba3e125
hex33820b75ec

221225121260 has 48 divisors (see below), whose sum is σ = 545791774752. Its totient is φ = 74257382400.

The previous prime is 221225121203. The next prime is 221225121269. The reversal of 221225121260 is 62121522122.

221225121260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (221225121269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38672861 + ... + 38678580.

It is an arithmetic number, because the mean of its divisors is an integer number (11370661974).

Almost surely, 2221225121260 is an apocalyptic number.

221225121260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221225121260 is an abundant number, since it is smaller than the sum of its proper divisors (324566653492).

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

221225121260 is a wasteful number, since it uses less digits than its factorization.

221225121260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77351474 (or 77351472 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 221225121260 its reverse (62121522122), we get a palindrome (283346643382).

The spelling of 221225121260 in words is "two hundred twenty-one billion, two hundred twenty-five million, one hundred twenty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 77351441 154702882 309405764 386757205 773514410 850865851 1005568733 1547028820 1701731702 2011137466 3403463404 4022274932 4254329255 5027843665 8508658510 10055687330 11061256063 17017317020 20111374660 22122512126 44245024252 55306280315 110612560630 221225121260