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218313137 = 72692431
BaseRepresentation
bin11010000001100…
…11000110110001
3120012210110022202
431000303012301
5421342010022
633355112545
75260426310
oct1500630661
9505713282
10218313137
11102260989
1261142755
13362c9993
1420dcc277
1514275592
hexd0331b1

218313137 has 12 divisors (see below), whose sum is σ = 251012736. Its totient is φ = 185997360.

The previous prime is 218313119. The next prime is 218313181. The reversal of 218313137 is 731313812.

It is not a de Polignac number, because 218313137 - 212 = 218309041 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218313197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506312 + ... + 506742.

It is an arithmetic number, because the mean of its divisors is an integer number (20917728).

Almost surely, 2218313137 is an apocalyptic number.

It is an amenable number.

218313137 is a deficient number, since it is larger than the sum of its proper divisors (32699599).

218313137 is an frugal number, since it uses more digits than its factorization.

218313137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 707 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 218313137 is about 14775.4234118688. The cubic root of 218313137 is about 602.1341932167.

Adding to 218313137 its reverse (731313812), we get a palindrome (949626949).

The spelling of 218313137 in words is "two hundred eighteen million, three hundred thirteen thousand, one hundred thirty-seven".

Divisors: 1 7 269 431 1883 3017 72361 115939 506527 811573 31187591 218313137