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230117202 = 232717532027
BaseRepresentation
bin11011011011101…
…00111101010010
3121001000011110100
431231310331102
5432402222302
634500113230
75462651430
oct1555647522
9531004410
10230117202
11108993507
1265095816
13388a0733
14227c1d50
1515307d1c
hexdb74f52

230117202 has 96 divisors (see below), whose sum is σ = 615019392. Its totient is φ = 60682752.

The previous prime is 230117201. The next prime is 230117213. The reversal of 230117202 is 202711032.

It is a super-3 number, since 3×2301172023 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230117201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112513 + ... + 114539.

It is an arithmetic number, because the mean of its divisors is an integer number (6406452).

Almost surely, 2230117202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230117202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307509696).

230117202 is an abundant number, since it is smaller than the sum of its proper divisors (384902190).

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

230117202 is a wasteful number, since it uses less digits than its factorization.

230117202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 230117202 is about 15169.6144314877. The cubic root of 230117202 is about 612.7966205670.

Adding to 230117202 its reverse (202711032), we get a palindrome (432828234).

It can be divided in two parts, 2301 and 17202, that added together give a triangular number (19503 = T197).

The spelling of 230117202 in words is "two hundred thirty million, one hundred seventeen thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 53 63 102 106 119 126 153 159 238 306 318 357 371 477 714 742 901 954 1071 1113 1802 2027 2142 2226 2703 3339 4054 5406 6081 6307 6678 8109 12162 12614 14189 16218 18243 18921 28378 34459 36486 37842 42567 56763 68918 85134 103377 107431 113526 127701 206754 214862 241213 255402 310131 322293 482426 620262 644586 723639 752017 966879 1447278 1504034 1826327 1933758 2170917 2256051 3652654 4341834 4512102 5478981 6768153 10957962 12784289 13536306 16436943 25568578 32873886 38352867 76705734 115058601 230117202