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2255217331 = 171917214057
BaseRepresentation
bin1000011001101011…
…1110001010110011
312211011120220120211
42012122332022303
514104313423311
61011441044551
7106613013433
oct20632761263
95734526524
102255217331
11a58014184
1252b326757
1329c2c5733
141757322c3
15d2ec7821
hex866be2b3

2255217331 has 16 divisors (see below), whose sum is σ = 2515635360. Its totient is φ = 2009180160.

The previous prime is 2255217313. The next prime is 2255217337. The reversal of 2255217331 is 1337125522.

It is a cyclic number.

It is not a de Polignac number, because 2255217331 - 25 = 2255217299 is a prime.

It is a super-2 number, since 2×22552173312 = 10172010420085527122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2255217293 and 2255217302.

It is not an unprimeable number, because it can be changed into a prime (2255217337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553855 + ... + 557911.

It is an arithmetic number, because the mean of its divisors is an integer number (157227210).

Almost surely, 22255217331 is an apocalyptic number.

2255217331 is a deficient number, since it is larger than the sum of its proper divisors (260418029).

2255217331 is a wasteful number, since it uses less digits than its factorization.

2255217331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814.

The product of its digits is 12600, while the sum is 31.

The square root of 2255217331 is about 47489.1285559127. The cubic root of 2255217331 is about 1311.3827504615.

The spelling of 2255217331 in words is "two billion, two hundred fifty-five million, two hundred seventeen thousand, three hundred thirty-one".

Divisors: 1 17 19 323 1721 4057 29257 32699 68969 77083 555883 1310411 6982097 118695649 132659843 2255217331