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213902343225 = 32524373217397
BaseRepresentation
bin1100011100110110010…
…0101011110000111001
3202110010012222220011100
43013031210223300321
512001032444440400
6242133153322013
721311461626624
oct3071544536071
9673105886140
10213902343225
118279632945a
1235557566309
131722b627c7c
14a4d2616dbb
15586dc17100
hex31cd92bc39

213902343225 has 36 divisors (see below), whose sum is σ = 383212237356. Its totient is φ = 114054637440.

The previous prime is 213902343223. The next prime is 213902343247. The reversal of 213902343225 is 522343209312.

213902343225 is a `hidden beast` number, since 2 + 1 + 3 + 90 + 2 + 343 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17237589264 + 196664753961 = 131292^2 + 443469^2 .

It is not a de Polignac number, because 213902343225 - 21 = 213902343223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213902343225.

It is not an unprimeable number, because it can be changed into a prime (213902343223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 875227 + ... + 1092623.

It is an arithmetic number, because the mean of its divisors is an integer number (10644784371).

Almost surely, 2213902343225 is an apocalyptic number.

213902343225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213902343225 is a deficient number, since it is larger than the sum of its proper divisors (169309894131).

213902343225 is a wasteful number, since it uses less digits than its factorization.

213902343225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221786 (or 221778 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 213902343225 in words is "two hundred thirteen billion, nine hundred two million, three hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 4373 13119 21865 39357 65595 109325 196785 217397 327975 652191 983925 1086985 1956573 3260955 5434925 9782865 16304775 48914325 950677081 2852031243 4753385405 8556093729 14260156215 23766927025 42780468645 71300781075 213902343225