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202201668 = 223241136993
BaseRepresentation
bin11000000110101…
…01101001000100
3112002110220112200
430003111221010
5403230423133
632021514500
75003454144
oct1403255104
9462426480
10202201668
11a4157119
1257872a30
1332b78476
141cbd6924
1512b41913
hexc0d5a44

202201668 has 36 divisors (see below), whose sum is σ = 523591068. Its totient is φ = 65756160.

The previous prime is 202201639. The next prime is 202201687. The reversal of 202201668 is 866102202.

202201668 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 2 ways, for example, as 97180164 + 105021504 = 9858^2 + 10248^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 67021 + ... + 69972.

Almost surely, 2202201668 is an apocalyptic number.

It is an amenable number.

202201668 is an abundant number, since it is smaller than the sum of its proper divisors (321389400).

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

202201668 is a wasteful number, since it uses less digits than its factorization.

202201668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137044 (or 137039 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 202201668 is about 14219.7632891691. The cubic root of 202201668 is about 586.9416265921.

It can be divided in two parts, 2022016 and 68, that added together give a square (2022084 = 14222).

The spelling of 202201668 in words is "two hundred two million, two hundred one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 136993 273986 410979 547972 821958 1232937 1643916 2465874 4931748 5616713 11233426 16850139 22466852 33700278 50550417 67400556 101100834 202201668