Search a number
-
+
10222624 = 25615237
BaseRepresentation
bin100110111111…
…110000100000
3201020100210201
4212333300200
510104110444
61003034544
7152614366
oct46776040
921210721
1010222624
115852455
12350ba54
13216bcb9
141501636
15d6ddd4
hex9bfc20

10222624 has 24 divisors (see below), whose sum is σ = 20459628. Its totient is φ = 5026560.

The previous prime is 10222609. The next prime is 10222657. The reversal of 10222624 is 42622201.

10222624 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 2 ways, for example, as 10112400 + 110224 = 3180^2 + 332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 667 + ... + 4570.

Almost surely, 210222624 is an apocalyptic number.

It is an amenable number.

10222624 is an abundant number, since it is smaller than the sum of its proper divisors (10237004).

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

10222624 is an equidigital number, since it uses as much as digits as its factorization.

10222624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10222624 is about 3197.2838472679. The cubic root of 10222624 is about 217.0305123906.

Adding to 10222624 its reverse (42622201), we get a palindrome (52844825).

The spelling of 10222624 in words is "ten million, two hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 5237 10474 20948 41896 83792 167584 319457 638914 1277828 2555656 5111312 10222624