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202055328 = 2532701581
BaseRepresentation
bin11000000101100…
…01111010100000
3112002012110210200
430002301322200
5403211232303
632014425200
75002304406
oct1402617240
9462173720
10202055328
11a4067182
1257802200
1332b26987
141cb99476
1512b133a3
hexc0b1ea0

202055328 has 36 divisors (see below), whose sum is σ = 574595658. Its totient is φ = 67351680.

The previous prime is 202055327. The next prime is 202055411. The reversal of 202055328 is 823550202.

It can be written as a sum of positive squares in only one way, i.e., 116899344 + 85155984 = 10812^2 + 9228^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (202055327) by changing a digit.

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, 350503 + ... + 351078.

Almost surely, 2202055328 is an apocalyptic number.

It is an amenable number.

202055328 is an abundant number, since it is smaller than the sum of its proper divisors (372540330).

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

202055328 is a wasteful number, since it uses less digits than its factorization.

202055328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701597 (or 701586 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 202055328 is about 14214.6167025355. The cubic root of 202055328 is about 586.7999960968.

The spelling of 202055328 in words is "two hundred two million, fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 701581 1403162 2104743 2806324 4209486 5612648 6314229 8418972 11225296 12628458 16837944 22450592 25256916 33675888 50513832 67351776 101027664 202055328