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164442241 = 1710195773
BaseRepresentation
bin10011100110100…
…11000010000001
3102110102112100101
421303103002001
5314044122431
624152322401
74034510305
oct1163230201
9373375311
10164442241
1184906987
12470a3401
13280b7702
1417ba7d05
15e683961
hex9cd3081

164442241 has 8 divisors (see below), whose sum is σ = 175841064. Its totient is φ = 153235200.

The previous prime is 164442227. The next prime is 164442287. The reversal of 164442241 is 142244461.

It can be written as a sum of positive squares in 4 ways, for example, as 78694641 + 85747600 = 8871^2 + 9260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164442241 - 29 = 164441729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164442041) 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 7 ways as a sum of consecutive naturals, for example, 46170 + ... + 49603.

It is an arithmetic number, because the mean of its divisors is an integer number (21980133).

Almost surely, 2164442241 is an apocalyptic number.

It is an amenable number.

164442241 is a deficient number, since it is larger than the sum of its proper divisors (11398823).

164442241 is a wasteful number, since it uses less digits than its factorization.

164442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95891.

The product of its digits is 6144, while the sum is 28.

The square root of 164442241 is about 12823.5034604432. The cubic root of 164442241 is about 547.8619373100.

The spelling of 164442241 in words is "one hundred sixty-four million, four hundred forty-two thousand, two hundred forty-one".

Divisors: 1 17 101 1717 95773 1628141 9673073 164442241