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228146525 = 5250917929
BaseRepresentation
bin11011001100100…
…11110101011101
3120220022001012022
431212103311131
5431401142100
634345545525
75440133135
oct1546236535
9526261168
10228146525
11107867952
12644a52a5
1338360759
142242bac5
1515068e85
hexd993d5d

228146525 has 12 divisors (see below), whose sum is σ = 283473300. Its totient is φ = 182148480.

The previous prime is 228146489. The next prime is 228146531. The reversal of 228146525 is 525641822.

It can be written as a sum of positive squares in 6 ways, for example, as 649636 + 227496889 = 806^2 + 15083^2 .

It is not a de Polignac number, because 228146525 - 210 = 228145501 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3761 + ... + 21689.

It is an arithmetic number, because the mean of its divisors is an integer number (23622775).

Almost surely, 2228146525 is an apocalyptic number.

228146525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228146525 is a deficient number, since it is larger than the sum of its proper divisors (55326775).

228146525 is a wasteful number, since it uses less digits than its factorization.

228146525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18448 (or 18443 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 228146525 is about 15104.5200188553. The cubic root of 228146525 is about 611.0423145389.

The spelling of 228146525 in words is "two hundred twenty-eight million, one hundred forty-six thousand, five hundred twenty-five".

Divisors: 1 5 25 509 2545 12725 17929 89645 448225 9125861 45629305 228146525