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2001225876 = 2231389144139
BaseRepresentation
bin111011101001000…
…0100100010010100
312011110122210210220
41313102010202110
513044303212001
6530325114340
7100410065526
oct16722044224
95143583726
102001225876
11937704691
1247a2589b0
1325b7b6330
1414dad7a16
15baa55c36
hex77484894

2001225876 has 48 divisors (see below), whose sum is σ = 5085259200. Its totient is φ = 608838912.

The previous prime is 2001225851. The next prime is 2001225911. The reversal of 2001225876 is 6785221002.

It is a congruent number.

It is an unprimeable number.

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, 58186 + ... + 85953.

It is an arithmetic number, because the mean of its divisors is an integer number (105942900).

Almost surely, 22001225876 is an apocalyptic number.

2001225876 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2001225876 is an abundant number, since it is smaller than the sum of its proper divisors (3084033324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001225876 is a wasteful number, since it uses less digits than its factorization.

2001225876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144248 (or 144246 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2001225876 is about 44735.0631607914. The cubic root of 2001225876 is about 1260.1784151485.

Adding to 2001225876 its reverse (6785221002), we get a palindrome (8786446878).

The spelling of 2001225876 in words is "two billion, one million, two hundred twenty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1157 2314 3471 4628 6942 13884 144139 288278 432417 576556 864834 1729668 1873807 3747614 5621421 7495228 11242842 12828371 22485684 25656742 38485113 51313484 76970226 153940452 166768823 333537646 500306469 667075292 1000612938 2001225876