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205141056 = 2631815903
BaseRepresentation
bin11000011101000…
…11010001000000
3112022000020121220
430032203101000
5410004003211
632204515040
75040445611
oct1416432100
9468006556
10205141056
11a588456a
125884ba80
1333667353
141d35dc08
1513022806
hexc3a3440

205141056 has 56 divisors (see below), whose sum is σ = 545860224. Its totient is φ = 67991040.

The previous prime is 205141039. The next prime is 205141087. The reversal of 205141056 is 650141502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31801 + ... + 37703.

It is an arithmetic number, because the mean of its divisors is an integer number (9747504).

Almost surely, 2205141056 is an apocalyptic number.

205141056 is the 9059-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272930112).

205141056 is an abundant number, since it is smaller than the sum of its proper divisors (340719168).

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

205141056 is a wasteful number, since it uses less digits than its factorization.

205141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6099 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 205141056 is about 14322.7461054087. The cubic root of 205141056 is about 589.7720617160.

Adding to 205141056 its reverse (650141502), we get a palindrome (855282558).

The spelling of 205141056 in words is "two hundred five million, one hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2896 4344 5792 5903 8688 11584 11806 17376 17709 23612 34752 35418 47224 70836 94448 141672 188896 283344 377792 566688 1068443 1133376 2136886 3205329 4273772 6410658 8547544 12821316 17095088 25642632 34190176 51285264 68380352 102570528 205141056