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10225125 = 325361149
BaseRepresentation
bin100111000000…
…010111100101
3201020111020100
4213000113211
510104201000
61003054313
7152624601
oct47002745
921214210
1010225125
115854319
123511399
132170191
141502501
15d6ea00
hex9c05e5

10225125 has 48 divisors (see below), whose sum is σ = 18860400. Its totient is φ = 5328000.

The previous prime is 10225123. The next prime is 10225129. The reversal of 10225125 is 52152201.

It can be written as a sum of positive squares in 8 ways, for example, as 8328996 + 1896129 = 2886^2 + 1377^2 .

It is not a de Polignac number, because 10225125 - 21 = 10225123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10225098 and 10225107.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68551 + ... + 68699.

It is an arithmetic number, because the mean of its divisors is an integer number (392925).

Almost surely, 210225125 is an apocalyptic number.

10225125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10225125 is a deficient number, since it is larger than the sum of its proper divisors (8635275).

10225125 is a wasteful number, since it uses less digits than its factorization.

10225125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10225125 is about 3197.6749365750. The cubic root of 10225125 is about 217.0482100337.

Adding to 10225125 its reverse (52152201), we get a palindrome (62377326).

The spelling of 10225125 in words is "ten million, two hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 125 149 183 225 305 375 447 549 745 915 1125 1341 1525 2235 2745 3725 4575 6705 7625 9089 11175 13725 18625 22875 27267 33525 45445 55875 68625 81801 136335 167625 227225 409005 681675 1136125 2045025 3408375 10225125