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204233140 = 22510211657
BaseRepresentation
bin11000010110001…
…01100110110100
3112020022010012101
430023011212310
5404240430030
632133231444
75026644616
oct1413054664
9466263171
10204233140
11a5314421
1258492584
133340a017
141d1a4db6
1512de37ca
hexc2c59b4

204233140 has 12 divisors (see below), whose sum is σ = 428889636. Its totient is φ = 81693248.

The previous prime is 204233137. The next prime is 204233143. The reversal of 204233140 is 41332402.

It is an interprime number because it is at equal distance from previous prime (204233137) and next prime (204233143).

It can be written as a sum of positive squares in 2 ways, for example, as 42536484 + 161696656 = 6522^2 + 12716^2 .

It is a super-2 number, since 2×2042331402 = 83422350948519200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204233143) 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 3 ways as a sum of consecutive naturals, for example, 5105809 + ... + 5105848.

It is an arithmetic number, because the mean of its divisors is an integer number (35740803).

Almost surely, 2204233140 is an apocalyptic number.

204233140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204233140 is an abundant number, since it is smaller than the sum of its proper divisors (224656496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204233140 is a wasteful number, since it uses less digits than its factorization.

204233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211666 (or 10211664 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 204233140 is about 14291.0160590491. The cubic root of 204233140 is about 588.9007012912.

Adding to 204233140 its reverse (41332402), we get a palindrome (245565542).

The spelling of 204233140 in words is "two hundred four million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10211657 20423314 40846628 51058285 102116570 204233140