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218315000 = 235447929
BaseRepresentation
bin11010000001100…
…11100011111000
3120012210112212202
431000303203320
5421342040000
633355125332
75260434611
oct1500634370
9505715782
10218315000
11102262322
1261143848
13362ca797
1420dccc08
1514275dd5
hexd0338f8

218315000 has 80 divisors (see below), whose sum is σ = 522957600. Its totient is φ = 85376000.

The previous prime is 218314963. The next prime is 218315021. The reversal of 218315000 is 513812.

It is a super-2 number, since 2×2183150002 = 95322878450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 234536 + ... + 235464.

It is an arithmetic number, because the mean of its divisors is an integer number (6536970).

Almost surely, 2218315000 is an apocalyptic number.

218315000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261478800).

218315000 is an abundant number, since it is smaller than the sum of its proper divisors (304642600).

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

218315000 is an equidigital number, since it uses as much as digits as its factorization.

218315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 218315000 is about 14775.4864556129. The cubic root of 218315000 is about 602.1359060053.

Adding to 218315000 its reverse (513812), we get a palindrome (218828812).

The spelling of 218315000 in words is "two hundred eighteen million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 625 929 940 1000 1175 1250 1858 1880 2350 2500 3716 4645 4700 5000 5875 7432 9290 9400 11750 18580 23225 23500 29375 37160 43663 46450 47000 58750 87326 92900 116125 117500 174652 185800 218315 232250 235000 349304 436630 464500 580625 873260 929000 1091575 1161250 1746520 2183150 2322500 4366300 4645000 5457875 8732600 10915750 21831500 27289375 43663000 54578750 109157500 218315000