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205439172 = 223191376577
BaseRepresentation
bin11000011111011…
…00000011000100
3112022120101120020
430033230003010
5410043023142
632215135140
75043130011
oct1417540304
9468511506
10205439172
11a5a68544
12589744b0
133373cc53
141d3da708
1513080cec
hexc3ec0c4

205439172 has 48 divisors (see below), whose sum is σ = 508347840. Its totient is φ = 64392192.

The previous prime is 205439149. The next prime is 205439177. The reversal of 205439172 is 271934502.

205439172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205439177) 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, 27948 + ... + 34524.

It is an arithmetic number, because the mean of its divisors is an integer number (10590580).

Almost surely, 2205439172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205439172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254173920).

205439172 is an abundant number, since it is smaller than the sum of its proper divisors (302908668).

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

205439172 is a wasteful number, since it uses less digits than its factorization.

205439172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 205439172 is about 14333.1494096727. The cubic root of 205439172 is about 590.0576138318.

The spelling of 205439172 in words is "two hundred five million, four hundred thirty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1644 2603 5206 6577 7809 10412 13154 15618 19731 26308 31236 39462 78924 124963 249926 374889 499852 749778 901049 1499556 1802098 2703147 3604196 5406294 10812588 17119931 34239862 51359793 68479724 102719586 205439172