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164240241 = 31110149277
BaseRepresentation
bin10011100101000…
…01101101110001
3102110001021020220
421302201231301
5314021141431
624144123253
74033006344
oct1162415561
9373037226
10164240241
1184789140
1247006529
1328046799
1417b5445b
15e643b96
hex9ca1b71

164240241 has 16 divisors (see below), whose sum is σ = 241265088. Its totient is φ = 98552000.

The previous prime is 164240233. The next prime is 164240257. The reversal of 164240241 is 142042461.

It is a happy number.

164240241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164240241 - 23 = 164240233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164240261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21306 + ... + 27971.

It is an arithmetic number, because the mean of its divisors is an integer number (15079068).

Almost surely, 2164240241 is an apocalyptic number.

164240241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164240241 is a deficient number, since it is larger than the sum of its proper divisors (77024847).

164240241 is a wasteful number, since it uses less digits than its factorization.

164240241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49392.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 164240241 is about 12815.6248774689. The cubic root of 164240241 is about 547.6375151333.

The spelling of 164240241 in words is "one hundred sixty-four million, two hundred forty thousand, two hundred forty-one".

Divisors: 1 3 11 33 101 303 1111 3333 49277 147831 542047 1626141 4976977 14930931 54746747 164240241