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189333981 = 321710911353
BaseRepresentation
bin10110100100100…
…00000111011101
3111012021011101200
423102100013131
5341432141411
630442030113
74456212054
oct1322200735
9435234350
10189333981
1197968471
12534a8339
13302c1555
141b20739b
151194de56
hexb4901dd

189333981 has 24 divisors (see below), whose sum is σ = 292251960. Its totient is φ = 117697536.

The previous prime is 189333959. The next prime is 189334003.

It is a happy number.

189333981 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (189333959) and next prime (189334003).

It can be written as a sum of positive squares in 4 ways, for example, as 47485881 + 141848100 = 6891^2 + 11910^2 .

It is not a de Polignac number, because 189333981 - 218 = 189071837 is a prime.

It is a super-2 number, since 2×1893339812 = 71694712722616722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189333901) 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 23 ways as a sum of consecutive naturals, for example, 11001 + ... + 22353.

It is an arithmetic number, because the mean of its divisors is an integer number (12177165).

Almost surely, 2189333981 is an apocalyptic number.

It is an amenable number.

189333981 is a deficient number, since it is larger than the sum of its proper divisors (102917979).

189333981 is a wasteful number, since it uses less digits than its factorization.

189333981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485 (or 11482 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 189333981 is about 13759.8684950111. The cubic root of 189333981 is about 574.2171890731.

The spelling of 189333981 in words is "one hundred eighty-nine million, three hundred thirty-three thousand, nine hundred eighty-one".

Divisors: 1 3 9 17 51 109 153 327 981 1853 5559 11353 16677 34059 102177 193001 579003 1237477 1737009 3712431 11137293 21037109 63111327 189333981