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204442125 = 3536779103
BaseRepresentation
bin11000010111110…
…00101000001101
3112020200201212120
430023320220031
5404314122000
632141523153
75031505116
oct1413705015
9466621776
10204442125
11a5447438
12585734b9
1333481194
141d21b20d
1512e356a0
hexc2f8a0d

204442125 has 64 divisors (see below), whose sum is σ = 353034240. Its totient is φ = 105019200.

The previous prime is 204442099. The next prime is 204442127. The reversal of 204442125 is 521244402.

It is a happy number.

It is not a de Polignac number, because 204442125 - 27 = 204441997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204442095 and 204442104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204442127) 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 63 ways as a sum of consecutive naturals, for example, 1984824 + ... + 1984926.

It is an arithmetic number, because the mean of its divisors is an integer number (5516160).

Almost surely, 2204442125 is an apocalyptic number.

204442125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

204442125 is a deficient number, since it is larger than the sum of its proper divisors (148592115).

204442125 is a wasteful number, since it uses less digits than its factorization.

204442125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

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

The square root of 204442125 is about 14298.3259509636. The cubic root of 204442125 is about 589.1015003365.

Adding to 204442125 its reverse (521244402), we get a palindrome (725686527).

The spelling of 204442125 in words is "two hundred four million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 67 75 79 103 125 201 237 309 335 375 395 515 1005 1185 1545 1675 1975 2575 5025 5293 5925 6901 7725 8137 8375 9875 12875 15879 20703 24411 25125 26465 29625 34505 38625 40685 79395 103515 122055 132325 172525 203425 396975 517575 545179 610275 661625 862625 1017125 1635537 1984875 2587875 2725895 3051375 8177685 13629475 40888425 68147375 204442125