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212424225 = 35213223977
BaseRepresentation
bin11001010100101…
…01011000100001
3112210201021020220
430222111120201
5413340033400
633024553253
75156401416
oct1452253041
9483637226
10212424225
11a99a9512
125b182829
1335017410
14202d810d
15139b07a0
hexca95621

212424225 has 48 divisors (see below), whose sum is σ = 380308992. Its totient is φ = 104002560.

The previous prime is 212424203. The next prime is 212424227. The reversal of 212424225 is 522424212.

It is not a de Polignac number, because 212424225 - 27 = 212424097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212424195 and 212424204.

It is not an unprimeable number, because it can be changed into a prime (212424227) 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, 216937 + ... + 217913.

It is an arithmetic number, because the mean of its divisors is an integer number (7923104).

Almost surely, 2212424225 is an apocalyptic number.

212424225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212424225 is a deficient number, since it is larger than the sum of its proper divisors (167884767).

212424225 is a wasteful number, since it uses less digits than its factorization.

212424225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1221 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 212424225 is about 14574.7804443154. The cubic root of 212424225 is about 596.6706571868.

Adding to 212424225 its reverse (522424212), we get a palindrome (734848437).

The spelling of 212424225 in words is "two hundred twelve million, four hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 223 325 669 975 977 1115 2899 2931 3345 4885 5575 8697 12701 14495 14655 16725 24425 38103 43485 63505 72475 73275 190515 217425 217871 317525 653613 952575 1089355 2832323 3268065 5446775 8496969 14161615 16340325 42484845 70808075 212424225