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205495056 = 24341312197
BaseRepresentation
bin11000011111110…
…01101100010000
3112022200020020000
430033321230100
5410101320211
632220250000
75043451644
oct1417715420
9468606200
10205495056
11a5aa6528
12589a0900
133375c510
141d412c24
1513092656
hexc3f9b10

205495056 has 100 divisors (see below), whose sum is σ = 640565772. Its totient is φ = 63224064.

The previous prime is 205495033. The next prime is 205495057. The reversal of 205495056 is 650594502.

205495056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 120560400 = 9216^2 + 10980^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 205495056.

It is not an unprimeable number, because it can be changed into a prime (205495057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10750 + ... + 22946.

Almost surely, 2205495056 is an apocalyptic number.

205495056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205495056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320282886).

205495056 is an abundant number, since it is smaller than the sum of its proper divisors (435070716).

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

205495056 is a wasteful number, since it uses less digits than its factorization.

205495056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12230 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 205495056 is about 14335.0987439920. The cubic root of 205495056 is about 590.1111118898. Note that the first 6 decimals are identical.

The spelling of 205495056 in words is "two hundred five million, four hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 12197 16848 24394 36591 48788 73182 97576 109773 146364 158561 195152 219546 292728 317122 329319 439092 475683 585456 634244 658638 878184 951366 987957 1268488 1317276 1427049 1756368 1902732 1975914 2536976 2634552 2854098 3805464 3951828 4281147 5269104 5708196 7610928 7903656 8562294 11416392 12843441 15807312 17124588 22832784 25686882 34249176 51373764 68498352 102747528 205495056