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1000884225 = 352113732789
BaseRepresentation
bin111011101010000…
…100100000000001
32120202100012001010
4323222010200001
54022211243400
6243152231133
733542242545
oct7352044001
92522305033
101000884225
11473a78150
1223b23b4a9
1312c4897b3
1496cdba25
155cd08450
hex3ba84801

1000884225 has 48 divisors (see below), whose sum is σ = 1854077760. Its totient is φ = 472147200.

The previous prime is 1000884179. The next prime is 1000884253. The reversal of 1000884225 is 5224880001.

It is not a de Polignac number, because 1000884225 - 26 = 1000884161 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000884192 and 1000884201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14131 + ... + 46919.

It is an arithmetic number, because the mean of its divisors is an integer number (38626620).

Almost surely, 21000884225 is an apocalyptic number.

1000884225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000884225 is a deficient number, since it is larger than the sum of its proper divisors (853193535).

1000884225 is a wasteful number, since it uses less digits than its factorization.

1000884225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32850 (or 32845 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1000884225 is about 31636.7543373210. The cubic root of 1000884225 is about 1000.2946548367.

The spelling of 1000884225 in words is "one billion, eight hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 37 55 75 111 165 185 275 407 555 825 925 1221 2035 2775 6105 10175 30525 32789 98367 163945 360679 491835 819725 1082037 1213193 1803395 2459175 3639579 5410185 6065965 9016975 13345123 18197895 27050925 30329825 40035369 66725615 90989475 200176845 333628075 1000884225