Search a number
-
+
10242225 = 325272929
BaseRepresentation
bin100111000100…
…100010110001
3201021100200200
4213010202301
510110222400
61003305413
7153025500
oct47044261
921240620
1010242225
115866154
12351b269
132177bb6
141508837
15d74b00
hex9c48b1

10242225 has 54 divisors (see below), whose sum is σ = 21363030. Its totient is φ = 4677120.

The previous prime is 10242187. The next prime is 10242233. The reversal of 10242225 is 52224201.

It can be written as a sum of positive squares in 3 ways, for example, as 53361 + 10188864 = 231^2 + 3192^2 .

It is not a de Polignac number, because 10242225 - 26 = 10242161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10242198 and 10242207.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10561 + ... + 11489.

Almost surely, 210242225 is an apocalyptic number.

10242225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10242225 is an abundant number, since it is smaller than the sum of its proper divisors (11120805).

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

10242225 is a wasteful number, since it uses less digits than its factorization.

10242225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10242225 is about 3200.3476373669. The cubic root of 10242225 is about 217.1691362594.

Adding to 10242225 its reverse (52224201), we get a palindrome (62466426).

It can be divided in two parts, 1024 and 2225, that added together give a square (3249 = 572).

The spelling of 10242225 in words is "ten million, two hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 929 1225 1575 2205 2787 3675 4645 6503 8361 11025 13935 19509 23225 32515 41805 45521 58527 69675 97545 136563 162575 209025 227605 292635 409689 487725 682815 1138025 1463175 2048445 3414075 10242225