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202242125 = 533374801
BaseRepresentation
bin11000000110111…
…11100001001101
3112002112222001002
430003133201031
5403233222000
632022430045
75004013121
oct1403374115
9462488032
10202242125
11a4184558
1257892325
1332b909c7
141cc07581
1512b4d8d5
hexc0df84d

202242125 has 16 divisors (see below), whose sum is σ = 253199856. Its totient is φ = 161280000.

The previous prime is 202242121. The next prime is 202242127. The reversal of 202242125 is 521242202.

202242125 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 8 ways, for example, as 81198121 + 121044004 = 9011^2 + 11002^2 .

It is not a de Polignac number, because 202242125 - 22 = 202242121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202242097 and 202242106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202242121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39725 + ... + 44525.

It is an arithmetic number, because the mean of its divisors is an integer number (15824991).

Almost surely, 2202242125 is an apocalyptic number.

202242125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202242125 is a deficient number, since it is larger than the sum of its proper divisors (50957731).

202242125 is an equidigital number, since it uses as much as digits as its factorization.

202242125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 202242125 is about 14221.1857803771. The cubic root of 202242125 is about 586.9807695496.

Adding to 202242125 its reverse (521242202), we get a palindrome (723484327).

The spelling of 202242125 in words is "two hundred two million, two hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 125 337 1685 4801 8425 24005 42125 120025 600125 1617937 8089685 40448425 202242125