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2250103221 = 321717385009
BaseRepresentation
bin1000011000011101…
…1101100110110101
312210210222002100100
42012013131212311
514102011300341
61011135304313
7106521363462
oct20607354665
95723862310
102250103221
11a55140943
1252967b099
1329b224a32
14174ba0669
15d28173b6
hex861dd9b5

2250103221 has 24 divisors (see below), whose sum is σ = 3461267160. Its totient is φ = 1403652096.

The previous prime is 2250103217. The next prime is 2250103231. The reversal of 2250103221 is 1223010522.

It can be written as a sum of positive squares in 4 ways, for example, as 1168614225 + 1081488996 = 34185^2 + 32886^2 .

It is not a de Polignac number, because 2250103221 - 22 = 2250103217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2250103194 and 2250103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250103231) 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 23 ways as a sum of consecutive naturals, for example, 16036 + ... + 68973.

It is an arithmetic number, because the mean of its divisors is an integer number (144219465).

Almost surely, 22250103221 is an apocalyptic number.

It is an amenable number.

2250103221 is a deficient number, since it is larger than the sum of its proper divisors (1211163939).

2250103221 is a wasteful number, since it uses less digits than its factorization.

2250103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85205 (or 85202 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2250103221 is about 47435.2529349217. The cubic root of 2250103221 is about 1310.3907349867.

Adding to 2250103221 its reverse (1223010522), we get a palindrome (3473113743).

The spelling of 2250103221 in words is "two billion, two hundred fifty million, one hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 173 519 1557 2941 8823 26469 85009 255027 765081 1445153 4335459 13006377 14706557 44119671 132359013 250011469 750034407 2250103221