Search a number
-
+
2222333105025 = 352113189184467
BaseRepresentation
bin100000010101101101011…
…000000001001110000001
321212110020012210211010110
4200111231120001032001
5242402314233330100
64420531543021533
7316362325500315
oct40255530011601
97773205724113
102222333105025
11787539113380
122ba852a3a8a9
13131746724697
14797c0a61b45
153cc1be2d250
hex2056d601381

2222333105025 has 48 divisors (see below), whose sum is σ = 4008453942528. Its totient is φ = 1077448296000.

The previous prime is 2222333105011. The next prime is 2222333105029. The reversal of 2222333105025 is 5205013332222.

It is not a de Polignac number, because 2222333105025 - 24 = 2222333105009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2222333104983 and 2222333105001.

It is not an unprimeable number, because it can be changed into a prime (2222333105029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26267842 + ... + 26352308.

It is an arithmetic number, because the mean of its divisors is an integer number (83509457136).

Almost surely, 22222333105025 is an apocalyptic number.

2222333105025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2222333105025 is a deficient number, since it is larger than the sum of its proper divisors (1786120837503).

2222333105025 is a wasteful number, since it uses less digits than its factorization.

2222333105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116382 (or 116377 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 2222333105025 its reverse (5205013332222), we get a palindrome (7427346437247).

The spelling of 2222333105025 in words is "two trillion, two hundred twenty-two billion, three hundred thirty-three million, one hundred five thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 31891 84467 95673 159455 253401 350801 422335 478365 797275 929137 1052403 1267005 1754005 2111675 2391825 2787411 4645685 5262015 6335025 8770025 13937055 23228425 26310075 69685275 2693737097 8081211291 13468685485 29631108067 40406056455 67343427425 88893324201 148155540335 202030282275 444466621005 740777701675 2222333105025