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2001224217 = 337127141961
BaseRepresentation
bin111011101001000…
…0100001000011001
312011110122201112110
41313102010020121
513044303133332
6530325102533
7100410060636
oct16722041031
95143581473
102001224217
11937703413
1247a257a49
1325b7b5655
1414dad718d
15baa554cc
hex77484219

2001224217 has 16 divisors (see below), whose sum is σ = 2762012672. Its totient is φ = 1287861120.

The previous prime is 2001224213. The next prime is 2001224221. The reversal of 2001224217 is 7124221002.

It is an interprime number because it is at equal distance from previous prime (2001224213) and next prime (2001224221).

It is not a de Polignac number, because 2001224217 - 22 = 2001224213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001224193 and 2001224202.

It is not an unprimeable number, because it can be changed into a prime (2001224213) 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 15 ways as a sum of consecutive naturals, for example, 56884 + ... + 85077.

It is an arithmetic number, because the mean of its divisors is an integer number (172625792).

Almost surely, 22001224217 is an apocalyptic number.

It is an amenable number.

2001224217 is a deficient number, since it is larger than the sum of its proper divisors (760788455).

2001224217 is a wasteful number, since it uses less digits than its factorization.

2001224217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142128.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2001224217 is about 44735.0446182856. The cubic root of 2001224217 is about 1260.1780669226.

Adding to 2001224217 its reverse (7124221002), we get a palindrome (9125445219).

The spelling of 2001224217 in words is "two billion, one million, two hundred twenty-four thousand, two hundred seventeen".

Divisors: 1 3 37 111 127 381 4699 14097 141961 425883 5252557 15757671 18029047 54087141 667074739 2001224217