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212344425 = 32522933221
BaseRepresentation
bin11001010100000…
…01111001101001
3112210120012210100
430222001321221
5413330010200
633023140013
75155616646
oct1452017151
9483505710
10212344425
11a9954567
125b144609
1334cb9cb7
14202b6dcd
1513996d00
hexca81e69

212344425 has 36 divisors (see below), whose sum is σ = 381749004. Its totient is φ = 112828800.

The previous prime is 212344423. The next prime is 212344439. The reversal of 212344425 is 524443212.

212344425 is a `hidden beast` number, since 2 + 1 + 234 + 4 + 425 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15896169 + 196448256 = 3987^2 + 14016^2 .

It is not a de Polignac number, because 212344425 - 21 = 212344423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212344421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64315 + ... + 67535.

It is an arithmetic number, because the mean of its divisors is an integer number (10604139).

Almost surely, 2212344425 is an apocalyptic number.

212344425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212344425 is a deficient number, since it is larger than the sum of its proper divisors (169404579).

212344425 is a wasteful number, since it uses less digits than its factorization.

212344425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3522 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 212344425 is about 14572.0425816012. The cubic root of 212344425 is about 596.5959320591.

Adding to 212344425 its reverse (524443212), we get a palindrome (736787637).

The spelling of 212344425 in words is "two hundred twelve million, three hundred forty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 293 879 1465 2637 3221 4395 7325 9663 13185 16105 21975 28989 48315 65925 80525 144945 241575 724725 943753 2831259 4718765 8493777 14156295 23593825 42468885 70781475 212344425