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217238142 = 231131891193
BaseRepresentation
bin11001111001011…
…00101001111110
3120010202211201010
430330230221332
5421103110032
633320100050
75245331232
oct1474545176
9503684633
10217238142
11101697260
1260904626
13360115a4
1420bcc5c2
1514111ccc
hexcf2ca7e

217238142 has 64 divisors (see below), whose sum is σ = 495175680. Its totient is φ = 62937600.

The previous prime is 217238129. The next prime is 217238143. The reversal of 217238142 is 241832712.

It is a super-2 number, since 2×2172381422 = 94384820679224328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217238143) 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 31 ways as a sum of consecutive naturals, for example, 181498 + ... + 182690.

It is an arithmetic number, because the mean of its divisors is an integer number (7737120).

Almost surely, 2217238142 is an apocalyptic number.

217238142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 217238142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247587840).

217238142 is an abundant number, since it is smaller than the sum of its proper divisors (277937538).

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

217238142 is a wasteful number, since it uses less digits than its factorization.

217238142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329.

The product of its digits is 5376, while the sum is 30.

The square root of 217238142 is about 14739.0007123957. Note that the first 3 decimals coincide. The cubic root of 217238142 is about 601.1442442325.

The spelling of 217238142 in words is "two hundred seventeen million, two hundred thirty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 89 93 178 186 267 341 534 682 979 1023 1193 1958 2046 2386 2759 2937 3579 5518 5874 7158 8277 13123 16554 26246 30349 36983 39369 60698 73966 78738 91047 106177 110949 182094 212354 221898 318531 406813 637062 813626 1167947 1220439 2335894 2440878 3291487 3503841 6582974 7007682 9874461 19748922 36206357 72412714 108619071 217238142