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205142357 = 7473671699
BaseRepresentation
bin11000011101000…
…11100101010101
3112022000022102002
430032203211111
5410004023412
632204525045
75040452450
oct1416434525
9468008362
10205142357
11a5885542
1258850785
1333667b14
141d360497
1513022dc2
hexc3a3955

205142357 has 16 divisors (see below), whose sum is σ = 240230400. Its totient is φ = 171525168.

The previous prime is 205142321. The next prime is 205142363. The reversal of 205142357 is 753241502.

It is a happy number.

205142357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 205142357 - 218 = 204880213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205142057) 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, 119894 + ... + 121592.

It is an arithmetic number, because the mean of its divisors is an integer number (15014400).

Almost surely, 2205142357 is an apocalyptic number.

It is an amenable number.

205142357 is a deficient number, since it is larger than the sum of its proper divisors (35088043).

205142357 is a wasteful number, since it uses less digits than its factorization.

205142357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120.

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 205142357 is about 14322.7915226048. The cubic root of 205142357 is about 589.7733084871.

Adding to 205142357 its reverse (753241502), we get a palindrome (958383859).

The spelling of 205142357 in words is "two hundred five million, one hundred forty-two thousand, three hundred fifty-seven".

Divisors: 1 7 47 329 367 1699 2569 11893 17249 79853 120743 558971 623533 4364731 29306051 205142357