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204022525 = 52721797101
BaseRepresentation
bin11000010100100…
…10001011111101
3112012220102021211
430022102023331
5404212210100
632124524421
75025106600
oct1412221375
9465812254
10204022525
11a5190163
12583b0711
13333651b5
141d14c337
1512da11ba
hexc2922fd

204022525 has 72 divisors (see below), whose sum is σ = 317932776. Its totient is φ = 129024000.

The previous prime is 204022499. The next prime is 204022529. The reversal of 204022525 is 525220402.

It is a happy number.

204022525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2893401 + 201129124 = 1701^2 + 14182^2 .

It is not a de Polignac number, because 204022525 - 217 = 203891453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204022496 and 204022505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204022529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2019975 + ... + 2020075.

It is an arithmetic number, because the mean of its divisors is an integer number (4415733).

Almost surely, 2204022525 is an apocalyptic number.

204022525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

204022525 is a deficient number, since it is larger than the sum of its proper divisors (113910251).

204022525 is a wasteful number, since it uses less digits than its factorization.

204022525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 204022525 is about 14283.6453680424. The cubic root of 204022525 is about 588.6981974577.

Adding to 204022525 its reverse (525220402), we get a palindrome (729242927).

The spelling of 204022525 in words is "two hundred four million, twenty-two thousand, five hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 97 101 119 175 245 425 485 505 595 679 707 833 1225 1649 1717 2425 2525 2975 3395 3535 4165 4753 4949 8245 8585 9797 11543 12019 16975 17675 20825 23765 24745 41225 42925 48985 57715 60095 68579 80801 84133 118825 123725 166549 244925 288575 300475 342895 404005 420665 480053 832745 1165843 1714475 2020025 2103325 2400265 4163725 5829215 8160901 12001325 29146075 40804505 204022525