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205561332 = 22325710037
BaseRepresentation
bin11000100000010…
…01110111110100
3112022210121010200
430100021313310
5410110430312
632221520500
75044146114
oct1420116764
9468717120
10205561332
11a60412a9
1258a13130
1333783732
141d42d044
15130a70dc
hexc409df4

205561332 has 18 divisors (see below), whose sum is σ = 519613458. Its totient is φ = 68520432.

The previous prime is 205561289. The next prime is 205561339. The reversal of 205561332 is 233165502.

205561332 is digitally balanced in base 3, 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 only one way, i.e., 149670756 + 55890576 = 12234^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2055613322 = 84510922427228448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205561296 and 205561305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205561339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2854983 + ... + 2855054.

Almost surely, 2205561332 is an apocalyptic number.

It is an amenable number.

205561332 is an abundant number, since it is smaller than the sum of its proper divisors (314052126).

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

205561332 is a wasteful number, since it uses less digits than its factorization.

205561332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710047 (or 5710042 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 205561332 is about 14337.4102263972. The cubic root of 205561332 is about 590.1745456952.

The spelling of 205561332 in words is "two hundred five million, five hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5710037 11420074 17130111 22840148 34260222 51390333 68520444 102780666 205561332