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202419425 = 52131736637
BaseRepresentation
bin11000001000010…
…10110011100001
3112002212222020202
430010022303201
5403304410200
632030314545
75005352045
oct1404126341
9462788222
10202419425
11a429578a
1257958a55
1332c23610
141cc52025
1512b861d5
hexc10ace1

202419425 has 24 divisors (see below), whose sum is σ = 286216056. Its totient is φ = 140682240.

The previous prime is 202419421. The next prime is 202419439. The reversal of 202419425 is 524914202.

It can be written as a sum of positive squares in 12 ways, for example, as 75203584 + 127215841 = 8672^2 + 11279^2 .

It is not a de Polignac number, because 202419425 - 22 = 202419421 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202419421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12794 + ... + 23843.

It is an arithmetic number, because the mean of its divisors is an integer number (11925669).

Almost surely, 2202419425 is an apocalyptic number.

202419425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202419425 is a deficient number, since it is larger than the sum of its proper divisors (83796631).

202419425 is a wasteful number, since it uses less digits than its factorization.

202419425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36677 (or 36672 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 202419425 is about 14227.4180721591. The cubic root of 202419425 is about 587.1522493093.

The spelling of 202419425 in words is "two hundred two million, four hundred nineteen thousand, four hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 5525 36637 183185 476281 622829 915925 2381405 3114145 8096777 11907025 15570725 40483885 202419425