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205101216 = 2532712157
BaseRepresentation
bin11000011100110…
…01100010100000
3112021221012222100
430032121202200
5410001214331
632204010400
75040221505
oct1416314240
9467835870
10205101216
11a5857641
1258830a00
1333652188
141d34d4ac
1513015ae6
hexc3998a0

205101216 has 36 divisors (see below), whose sum is σ = 583257402. Its totient is φ = 68366976.

The previous prime is 205101203. The next prime is 205101223. The reversal of 205101216 is 612101502.

It can be written as a sum of positive squares in only one way, i.e., 184851216 + 20250000 = 13596^2 + 4500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 355791 + ... + 356366.

Almost surely, 2205101216 is an apocalyptic number.

It is an amenable number.

205101216 is an abundant number, since it is smaller than the sum of its proper divisors (378156186).

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

205101216 is a wasteful number, since it uses less digits than its factorization.

205101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712173 (or 712162 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 205101216 is about 14321.3552431325. The cubic root of 205101216 is about 589.7338797927.

Adding to 205101216 its reverse (612101502), we get a palindrome (817202718).

The spelling of 205101216 in words is "two hundred five million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 712157 1424314 2136471 2848628 4272942 5697256 6409413 8545884 11394512 12818826 17091768 22789024 25637652 34183536 51275304 68367072 102550608 205101216