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10220985 = 34525237
BaseRepresentation
bin100110111111…
…010110111001
3201020021120000
4212333112321
510104032420
61003023213
7152606535
oct46772671
921207500
1010220985
1158511a5
12350ab09
13216b328
141500bc5
15d6d690
hex9bf5b9

10220985 has 20 divisors (see below), whose sum is σ = 18322788. Its totient is φ = 5450976.

The previous prime is 10220981. The next prime is 10221007. The reversal of 10220985 is 58902201.

It can be written as a sum of positive squares in 2 ways, for example, as 5861241 + 4359744 = 2421^2 + 2088^2 .

It is not a de Polignac number, because 10220985 - 22 = 10220981 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10220981) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12214 + ... + 13023.

Almost surely, 210220985 is an apocalyptic number.

10220985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10220985 is a deficient number, since it is larger than the sum of its proper divisors (8101803).

10220985 is an equidigital number, since it uses as much as digits as its factorization.

10220985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25254 (or 25245 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10220985 is about 3197.0275256869. The cubic root of 10220985 is about 217.0189128893.

The spelling of 10220985 in words is "ten million, two hundred twenty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 25237 75711 126185 227133 378555 681399 1135665 2044197 3406995 10220985