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10212825 = 35273397
BaseRepresentation
bin100110111101…
…010111011001
3201012212100210
4212331113121
510103302300
61002521333
7152544000
oct46752731
921185323
1010212825
115846057
123506249
1321676bc
1414dbc37
15d6b050
hex9bd5d9

10212825 has 48 divisors (see below), whose sum is σ = 19740800. Its totient is φ = 4656960.

The previous prime is 10212821. The next prime is 10212833. The reversal of 10212825 is 52821201.

It is a happy number.

10212825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10212825 - 22 = 10212821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10212821) 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, 25527 + ... + 25923.

Almost surely, 210212825 is an apocalyptic number.

10212825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10212825 is a deficient number, since it is larger than the sum of its proper divisors (9527975).

10212825 is an equidigital number, since it uses as much as digits as its factorization.

10212825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10212825 is about 3195.7510854258. The cubic root of 10212825 is about 216.9611446213.

The spelling of 10212825 in words is "ten million, two hundred twelve thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 343 397 525 735 1029 1191 1225 1715 1985 2779 3675 5145 5955 8337 8575 9925 13895 19453 25725 29775 41685 58359 69475 97265 136171 208425 291795 408513 486325 680855 1458975 2042565 3404275 10212825