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1005137226 = 232122345659
BaseRepresentation
bin111011111010010…
…010110101001010
32121001100021001200
4323322102311022
54024303342401
6243423325030
733623345142
oct7372226512
92531307050
101005137226
11476412525
12240750776
13130318572
14976c7922
155d398686
hex3be92d4a

1005137226 has 24 divisors (see below), whose sum is σ = 2179625760. Its totient is φ = 334764456.

The previous prime is 1005137207. The next prime is 1005137233. The reversal of 1005137226 is 6227315001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005137226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816 + ... + 44843.

It is an arithmetic number, because the mean of its divisors is an integer number (90817740).

Almost surely, 21005137226 is an apocalyptic number.

1005137226 is an abundant number, since it is smaller than the sum of its proper divisors (1174488534).

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

1005137226 is a wasteful number, since it uses less digits than its factorization.

1005137226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46890 (or 46887 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1005137226 is about 31703.8992239125. The cubic root of 1005137226 is about 1001.7094846636.

The spelling of 1005137226 in words is "one billion, five million, one hundred thirty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 1223 2446 3669 7338 11007 22014 45659 91318 136977 273954 410931 821862 55840957 111681914 167522871 335045742 502568613 1005137226