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202135164 = 223711218761
BaseRepresentation
bin11000000110001…
…01011001111100
3112002100112022120
430003011121330
5403221311124
632020242540
75003056230
oct1403053174
9462315276
10202135164
11a4111160
1257840450
1332b5410a
141cbba5c0
1512b2bd79
hexc0c567c

202135164 has 48 divisors (see below), whose sum is σ = 588032256. Its totient is φ = 52502400.

The previous prime is 202135111. The next prime is 202135169. The reversal of 202135164 is 461531202.

202135164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202135169) 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 15 ways as a sum of consecutive naturals, for example, 108457 + ... + 110304.

It is an arithmetic number, because the mean of its divisors is an integer number (12250672).

Almost surely, 2202135164 is an apocalyptic number.

It is an amenable number.

202135164 is an abundant number, since it is smaller than the sum of its proper divisors (385897092).

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

202135164 is a wasteful number, since it uses less digits than its factorization.

202135164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218786 (or 218784 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 202135164 is about 14217.4246613091. The cubic root of 202135164 is about 586.8772712936.

Adding to 202135164 its reverse (461531202), we get a palindrome (663666366).

The spelling of 202135164 in words is "two hundred two million, one hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 218761 437522 656283 875044 1312566 1531327 2406371 2625132 3062654 4593981 4812742 6125308 7219113 9187962 9625484 14438226 16844597 18375924 28876452 33689194 50533791 67378388 101067582 202135164