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70217000 = 2353721433
BaseRepresentation
bin1000010111101…
…10110100101000
311220010101121122
410023312310220
5120433421000
610544554412
71511556200
oct413666450
9156111548
1070217000
11366aa087
121b622a08
1311716529
14947b400
156270085
hex42f6d28

70217000 has 96 divisors (see below), whose sum is σ = 191266920. Its totient is φ = 24057600.

The previous prime is 70216981. The next prime is 70217003. The reversal of 70217000 is 71207.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32787076 + 37429924 = 5726^2 + 6118^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 70217000.

It is not an unprimeable number, because it can be changed into a prime (70217003) 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 23 ways as a sum of consecutive naturals, for example, 48284 + ... + 49716.

Almost surely, 270217000 is an apocalyptic number.

70217000 is a gapful number since it is divisible by the number (70) 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 70217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95633460).

70217000 is an abundant number, since it is smaller than the sum of its proper divisors (121049920).

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

70217000 is a wasteful number, since it uses less digits than its factorization.

70217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 70217000 is about 8379.5584609214. The cubic root of 70217000 is about 412.5539568231.

Adding to 70217000 its reverse (71207), we get a palindrome (70288207).

The spelling of 70217000 in words is "seventy million, two hundred seventeen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1433 1750 1960 2450 2866 3500 4900 5732 6125 7000 7165 9800 10031 11464 12250 14330 20062 24500 28660 35825 40124 49000 50155 57320 70217 71650 80248 100310 140434 143300 179125 200620 250775 280868 286600 351085 358250 401240 501550 561736 702170 716500 1003100 1253875 1404340 1433000 1755425 2006200 2507750 2808680 3510850 5015500 7021700 8777125 10031000 14043400 17554250 35108500 70217000