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205352238 = 23721324133
BaseRepresentation
bin11000011110101…
…10110100101110
3112022101222022110
430033112310232
5410032232423
632213224450
75042315400
oct1417266456
9468358273
10205352238
11a5a091a3
1258932126
133370c500
141d3b6b70
1513065193
hexc3d6d2e

205352238 has 72 divisors (see below), whose sum is σ = 517461048. Its totient is φ = 54145728.

The previous prime is 205352237. The next prime is 205352243. The reversal of 205352238 is 832253502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205352237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47620 + ... + 51752.

It is an arithmetic number, because the mean of its divisors is an integer number (7186959).

Almost surely, 2205352238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205352238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258730524).

205352238 is an abundant number, since it is smaller than the sum of its proper divisors (312108810).

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

205352238 is a wasteful number, since it uses less digits than its factorization.

205352238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 205352238 is about 14330.1164684730. The cubic root of 205352238 is about 589.9743721512.

The spelling of 205352238 in words is "two hundred five million, three hundred fifty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 169 182 273 294 338 507 546 637 1014 1183 1274 1911 2366 3549 3822 4133 7098 8266 8281 12399 16562 24798 24843 28931 49686 53729 57862 86793 107458 161187 173586 202517 322374 376103 405034 607551 698477 752206 1128309 1215102 1396954 2095431 2256618 2632721 4190862 4889339 5265442 7898163 9778678 14668017 15796326 29336034 34225373 68450746 102676119 205352238