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4225717000 = 235337311329
BaseRepresentation
bin1111101111011111…
…0101001100001000
3101220111102122222001
43323313311030020
532123240421000
61535151440344
7206501000431
oct37367651410
911814378861
104225717000
1118793417aa
1299b2260b4
1352461137b
142c130c488
1519aeae46a
hexfbdf5308

4225717000 has 64 divisors (see below), whose sum is σ = 9915562800. Its totient is φ = 1685606400.

The previous prime is 4225716997. The next prime is 4225717003. The reversal of 4225717000 is 7175224.

It is an interprime number because it is at equal distance from previous prime (4225716997) and next prime (4225717003).

It can be written as a sum of positive squares in 8 ways, for example, as 67272804 + 4158444196 = 8202^2 + 64486^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4225717000.

It is not an unprimeable number, because it can be changed into a prime (4225717003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367336 + ... + 378664.

Almost surely, 24225717000 is an apocalyptic number.

4225717000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957781400).

4225717000 is an abundant number, since it is smaller than the sum of its proper divisors (5689845800).

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

4225717000 is a wasteful number, since it uses less digits than its factorization.

4225717000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11723 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 4225717000 is about 65005.5151506393. The cubic root of 4225717000 is about 1616.7150066438.

The spelling of 4225717000 in words is "four billion, two hundred twenty-five million, seven hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 373 500 746 1000 1492 1865 2984 3730 7460 9325 11329 14920 18650 22658 37300 45316 46625 56645 74600 90632 93250 113290 186500 226580 283225 373000 453160 566450 1132900 1416125 2265800 2832250 4225717 5664500 8451434 11329000 16902868 21128585 33805736 42257170 84514340 105642925 169028680 211285850 422571700 528214625 845143400 1056429250 2112858500 4225717000