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2226312513 = 332910726573
BaseRepresentation
bin1000010010110010…
…1101010101000001
312202011012101122000
42010230231111001
514024414000023
61004525334213
7106112226015
oct20454552501
95664171560
102226312513
11a427715a7
12521707369
132963150a9
1417196a545
15d06b8243
hex84b2d541

2226312513 has 32 divisors (see below), whose sum is σ = 3443990400. Its totient is φ = 1419582528.

The previous prime is 2226312511. The next prime is 2226312551. The reversal of 2226312513 is 3152136222.

It is a happy number.

2226312513 is a `hidden beast` number, since 2 + 2 + 2 + 631 + 25 + 1 + 3 = 666.

It is not a de Polignac number, because 2226312513 - 21 = 2226312511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2226312511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70495 + ... + 97067.

It is an arithmetic number, because the mean of its divisors is an integer number (107624700).

Almost surely, 22226312513 is an apocalyptic number.

It is an amenable number.

2226312513 is a deficient number, since it is larger than the sum of its proper divisors (1217677887).

2226312513 is a wasteful number, since it uses less digits than its factorization.

2226312513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26718 (or 26712 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2226312513 is about 47183.8162191233. The cubic root of 2226312513 is about 1305.7560370097.

Adding to 2226312513 its reverse (3152136222), we get a palindrome (5378448735).

The spelling of 2226312513 in words is "two billion, two hundred twenty-six million, three hundred twelve thousand, five hundred thirteen".

Divisors: 1 3 9 27 29 87 107 261 321 783 963 2889 3103 9309 26573 27927 79719 83781 239157 717471 770617 2311851 2843311 6935553 8529933 20806659 25589799 76769397 82456019 247368057 742104171 2226312513