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205520896 = 22272
BaseRepresentation
bin11000100000000…
…00000000000000
3112022201112200001
430100000000000
5410103132041
632221005344
75043620200
oct1420000000
9468645601
10205520896
11a6013989
12589b3854
133376b1c9
141d41c400
151309a131
hexc400000

205520896 has 69 divisors (see below), whose sum is σ = 478150599. Its totient is φ = 88080384.

The previous prime is 205520881. The next prime is 205520911. The reversal of 205520896 is 698025502.

It is a happy number.

The square root of 205520896 is 14336.

It is a perfect power (a square), and thus also a powerful number.

205520896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205520881) and next prime (205520911).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 29360125 + ... + 29360131.

Almost surely, 2205520896 is an apocalyptic number.

205520896 is the 14336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205520896

205520896 is an abundant number, since it is smaller than the sum of its proper divisors (272629703).

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

205520896 is an frugal number, since it uses more digits than its factorization.

205520896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The cubic root of 205520896 is about 590.1358453835.

The spelling of 205520896 in words is "two hundred five million, five hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 4096 6272 7168 8192 12544 14336 16384 25088 28672 32768 50176 57344 65536 100352 114688 131072 200704 229376 262144 401408 458752 524288 802816 917504 1048576 1605632 1835008 2097152 3211264 3670016 4194304 6422528 7340032 12845056 14680064 25690112 29360128 51380224 102760448 205520896