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218165364 = 22326060149
BaseRepresentation
bin11010000000011…
…11000001110100
3120012111221121200
431000033001310
5421322242424
633352012500
75256242424
oct1500170164
9505457550
10218165364
1110216a95a
1261091130
1336277641
1420d90484
15142468c9
hexd00f074

218165364 has 18 divisors (see below), whose sum is σ = 551473650. Its totient is φ = 72721776.

The previous prime is 218165317. The next prime is 218165393. The reversal of 218165364 is 463561812.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 216972900 + 1192464 = 14730^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2181653642 = 95192252098504992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6060149 = 218165364 / (2 + 1 + 8 + 1 + 6 + 5 + 3 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3030039 + ... + 3030110.

It is an arithmetic number, because the mean of its divisors is an integer number (30637425).

Almost surely, 2218165364 is an apocalyptic number.

It is an amenable number.

218165364 is an abundant number, since it is smaller than the sum of its proper divisors (333308286).

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

218165364 is a wasteful number, since it uses less digits than its factorization.

218165364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060159 (or 6060154 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 218165364 is about 14770.4219303309. The cubic root of 218165364 is about 601.9983039139.

The spelling of 218165364 in words is "two hundred eighteen million, one hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6060149 12120298 18180447 24240596 36360894 54541341 72721788 109082682 218165364