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2245581 = 3213171129
BaseRepresentation
bin1000100100001111001101
311020002100200
420210033031
51033324311
6120044113
725041612
oct10441715
94202320
102245581
1112a4158
12903639
13608160
14426509
152e5556
hex2243cd

2245581 has 24 divisors (see below), whose sum is σ = 3701880. Its totient is φ = 1299456.

The previous prime is 2245577. The next prime is 2245583. The reversal of 2245581 is 1855422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22500 + 2223081 = 150^2 + 1491^2 .

It is not a de Polignac number, because 2245581 - 22 = 2245577 is a prime.

It is a super-3 number, since 3×22455813 = 33970929486733373823, which contains 333 as substring. Note that it is a super-d number also for d = 2.

2245581 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425 + ... + 2553.

It is an arithmetic number, because the mean of its divisors is an integer number (154245).

22245581 is an apocalyptic number.

It is an amenable number.

2245581 is a deficient number, since it is larger than the sum of its proper divisors (1456299).

2245581 is a wasteful number, since it uses less digits than its factorization.

2245581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1162 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2245581 is about 1498.5262760459. The cubic root of 2245581 is about 130.9512278865.

The spelling of 2245581 in words is "two million, two hundred forty-five thousand, five hundred eighty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1129 1989 3387 10161 14677 19193 44031 57579 132093 172737 249509 748527 2245581