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2248132513 = 111782714537
BaseRepresentation
bin1000010111111111…
…1100011110100001
312210200020222001011
42011333330132201
514101010220023
61011025140521
7106465545124
oct20577743641
95720228034
102248132513
11a54015260
12528a8a741
1329a9b4a33
1417480a3bb
15d257850d
hex85ffc7a1

2248132513 has 16 divisors (see below), whose sum is σ = 2600092224. Its totient is φ = 1921077760.

The previous prime is 2248132511. The next prime is 2248132553. The reversal of 2248132513 is 3152318422.

It is a cyclic number.

It is not a de Polignac number, because 2248132513 - 21 = 2248132511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2248132511) 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, 147381 + ... + 161917.

It is an arithmetic number, because the mean of its divisors is an integer number (162505764).

Almost surely, 22248132513 is an apocalyptic number.

It is an amenable number.

2248132513 is a deficient number, since it is larger than the sum of its proper divisors (351959711).

2248132513 is a wasteful number, since it uses less digits than its factorization.

2248132513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392.

The product of its digits is 11520, while the sum is 31.

The square root of 2248132513 is about 47414.4757748095. The cubic root of 2248132513 is about 1310.0080633888.

The spelling of 2248132513 in words is "two billion, two hundred forty-eight million, one hundred thirty-two thousand, five hundred thirteen".

Divisors: 1 11 17 187 827 9097 14059 14537 154649 159907 247129 2718419 12022099 132243089 204375683 2248132513