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231766164 = 223371132713
BaseRepresentation
bin11011101000001…
…11100010010100
3121011002221102000
431310013202110
5433313004124
634555315300
75512660050
oct1564074224
9534087360
10231766164
1110990a393
126574bb30
133902a156
1422ad0c60
15155316c9
hexdd07894

231766164 has 96 divisors (see below), whose sum is σ = 693047040. Its totient is φ = 65608704.

The previous prime is 231766163. The next prime is 231766169. The reversal of 231766164 is 461667132.

It is a happy number.

231766164 is a `hidden beast` number, since 2 + 31 + 7 + 6 + 616 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231766163) 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 31 ways as a sum of consecutive naturals, for example, 84072 + ... + 86784.

It is an arithmetic number, because the mean of its divisors is an integer number (7219240).

Almost surely, 2231766164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231766164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346523520).

231766164 is an abundant number, since it is smaller than the sum of its proper divisors (461280876).

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

231766164 is a wasteful number, since it uses less digits than its factorization.

231766164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2838 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 231766164 is about 15223.8682337966. The cubic root of 231766164 is about 614.2568537060.

The spelling of 231766164 in words is "two hundred thirty-one million, seven hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1017 1356 1582 2034 2373 2713 3051 3164 4068 4746 5426 6102 7119 8139 9492 10852 12204 14238 16278 18991 21357 24417 28476 32556 37982 42714 48834 56973 73251 75964 85428 97668 113946 146502 170919 227892 293004 306569 341838 512757 613138 683676 919707 1025514 1226276 1839414 2051028 2145983 2759121 3678828 4291966 5518242 6437949 8277363 8583932 11036484 12875898 16554726 19313847 25751796 33109452 38627694 57941541 77255388 115883082 231766164