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10116225 = 335272141
BaseRepresentation
bin100110100101…
…110010000001
3201000221212000
4212211302001
510042204400
61000454213
7151662240
oct46456201
921027760
1010116225
11578a519
12347a369
132132742
1414b4957
15d4c600
hex9a5c81

10116225 has 48 divisors (see below), whose sum is σ = 21248640. Its totient is φ = 4622400.

The previous prime is 10116221. The next prime is 10116229. The reversal of 10116225 is 52261101.

It is an interprime number because it is at equal distance from previous prime (10116221) and next prime (10116229).

It is not a de Polignac number, because 10116225 - 22 = 10116221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10116198 and 10116207.

It is not an unprimeable number, because it can be changed into a prime (10116221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3655 + ... + 5795.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 210116225 is an apocalyptic number.

10116225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10116225 is an abundant number, since it is smaller than the sum of its proper divisors (11132415).

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

10116225 is a wasteful number, since it uses less digits than its factorization.

10116225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10116225 is about 3180.6013582340. The cubic root of 10116225 is about 216.2749200012.

Adding to 10116225 its reverse (52261101), we get a palindrome (62377326).

The spelling of 10116225 in words is "ten million, one hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 2141 4725 6423 10705 14987 19269 32115 44961 53525 57807 74935 96345 134883 160575 224805 289035 374675 404649 481725 674415 1124025 1445175 2023245 3372075 10116225