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10225124 = 2272134013
BaseRepresentation
bin100111000000…
…010111100100
3201020111020022
4213000113210
510104200444
61003054312
7152624600
oct47002744
921214208
1010225124
115854318
123511398
132170190
141502500
15d6e9ee
hex9c05e4

10225124 has 36 divisors (see below), whose sum is σ = 22422204. Its totient is φ = 4044096.

The previous prime is 10225123. The next prime is 10225129. The reversal of 10225124 is 42152201.

It can be written as a sum of positive squares in 2 ways, for example, as 5017600 + 5207524 = 2240^2 + 2282^2 .

It is not an unprimeable number, because it can be changed into a prime (10225123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542 + ... + 4554.

It is an arithmetic number, because the mean of its divisors is an integer number (622839).

Almost surely, 210225124 is an apocalyptic number.

10225124 is a gapful number since it is divisible by the number (14) 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 10225124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211102).

10225124 is an abundant number, since it is smaller than the sum of its proper divisors (12197080).

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

10225124 is a wasteful number, since it uses less digits than its factorization.

10225124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 10225124 is about 3197.6747802114. The cubic root of 10225124 is about 217.0482029580.

Adding to 10225124 its reverse (42152201), we get a palindrome (52377325).

The spelling of 10225124 in words is "ten million, two hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 4013 8026 16052 28091 52169 56182 104338 112364 196637 208676 365183 393274 730366 786548 1460732 2556281 5112562 10225124