Search a number
-
+
218240388 = 223218133493
BaseRepresentation
bin11010000001000…
…01010110000100
3120012122202112100
431000201112010
5421332143023
633353352100
75260004232
oct1500412604
9505582470
10218240388
11102211263
1261108630
13362a2832
1420dad952
151425dc43
hexd021584

218240388 has 36 divisors (see below), whose sum is σ = 554727628. Its totient is φ = 72342720.

The previous prime is 218240383. The next prime is 218240389. The reversal of 218240388 is 883042812.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118200384 + 100040004 = 10872^2 + 10002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218240381) 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, 10231 + ... + 23262.

Almost surely, 2218240388 is an apocalyptic number.

It is an amenable number.

218240388 is an abundant number, since it is smaller than the sum of its proper divisors (336487240).

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

218240388 is a wasteful number, since it uses less digits than its factorization.

218240388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33684 (or 33679 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 218240388 is about 14772.9613822009. The cubic root of 218240388 is about 602.0673022550.

The spelling of 218240388 in words is "two hundred eighteen million, two hundred forty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 33493 66986 100479 133972 200958 301437 401916 602874 1205748 6062233 12124466 18186699 24248932 36373398 54560097 72746796 109120194 218240388