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230722164 = 2232172771361
BaseRepresentation
bin11011100000010…
…00101001110100
3121002010220022100
431300020221310
5433031102124
634521102100
75501051241
oct1560105164
9532126270
10230722164
11109266a82
1265327930
1338a52bba
14228dc5c8
15153c71c9
hexdc08a74

230722164 has 72 divisors (see below), whose sum is σ = 620205768. Its totient is φ = 72069120.

The previous prime is 230722159. The next prime is 230722169. The reversal of 230722164 is 461227032.

It is an interprime number because it is at equal distance from previous prime (230722159) and next prime (230722169).

It can be written as a sum of positive squares in 4 ways, for example, as 7518564 + 223203600 = 2742^2 + 14940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230722169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168844 + ... + 170204.

It is an arithmetic number, because the mean of its divisors is an integer number (8613969).

Almost surely, 2230722164 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 230722164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310102884).

230722164 is an abundant number, since it is smaller than the sum of its proper divisors (389483604).

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

230722164 is a wasteful number, since it uses less digits than its factorization.

230722164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 230722164 is about 15189.5412702293. The cubic root of 230722164 is about 613.3331504673. Note that the first 3 decimals are identical.

Adding to 230722164 its reverse (461227032), we get a palindrome (691949196).

The spelling of 230722164 in words is "two hundred thirty million, seven hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 277 306 554 612 831 1108 1361 1662 2493 2722 3324 4083 4709 4986 5444 8166 9418 9972 12249 14127 16332 18836 23137 24498 28254 42381 46274 48996 56508 69411 84762 92548 138822 169524 208233 277644 376997 416466 753994 832932 1130991 1507988 2261982 3392973 4523964 6408949 6785946 12817898 13571892 19226847 25635796 38453694 57680541 76907388 115361082 230722164