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35225000 = 23551409
BaseRepresentation
bin1000011001011…
…1110110101000
32110021121121122
42012113312220
533004200000
63254554412
7605256536
oct206276650
973247548
1035225000
111897a078
12b968a08
1373b42c5
14496d156
15315c085
hex2197da8

35225000 has 48 divisors (see below), whose sum is σ = 82611900. Its totient is φ = 14080000.

The previous prime is 35224997. The next prime is 35225077. The reversal of 35225000 is 52253.

35225000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14303524 + 20921476 = 3782^2 + 4574^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 35225000.

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 11 ways as a sum of consecutive naturals, for example, 24296 + ... + 25704.

Almost surely, 235225000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41305950).

35225000 is an abundant number, since it is smaller than the sum of its proper divisors (47386900).

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

35225000 is an equidigital number, since it uses as much as digits as its factorization.

35225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 35225000 is about 5935.0652902896. The cubic root of 35225000 is about 327.8060771208.

Adding to 35225000 its reverse (52253), we get a palindrome (35277253).

It can be divided in two parts, 352 and 25000, that added together give a palindrome (25352).

The spelling of 35225000 in words is "thirty-five million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1409 2500 2818 3125 5000 5636 6250 7045 11272 12500 14090 25000 28180 35225 56360 70450 140900 176125 281800 352250 704500 880625 1409000 1761250 3522500 4403125 7045000 8806250 17612500 35225000