Search a number
-
+
218325700 = 225212717191
BaseRepresentation
bin11010000001101…
…10001011000100
3120012211002120001
431000312023010
5421342410300
633355251044
75260511035
oct1500661304
9505732501
10218325700
1110226a36a
1261149a84
1336302608
1420dd2a8c
151427916a
hexd0362c4

218325700 has 36 divisors (see below), whose sum is σ = 477524992. Its totient is φ = 86637600.

The previous prime is 218325673. The next prime is 218325707. The reversal of 218325700 is 7523812.

It is a super-2 number, since 2×2183257002 = 95332222560980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218325707) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4105 + ... + 21295.

Almost surely, 2218325700 is an apocalyptic number.

218325700 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 218325700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238762496).

218325700 is an abundant number, since it is smaller than the sum of its proper divisors (259199292).

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

218325700 is a wasteful number, since it uses less digits than its factorization.

218325700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17332 (or 17325 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 218325700 is about 14775.8485373937. The cubic root of 218325700 is about 602.1457430893.

The spelling of 218325700 in words is "two hundred eighteen million, three hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 17191 34382 68764 85955 171910 343820 429775 859550 1719100 2183257 4366514 8733028 10916285 21832570 43665140 54581425 109162850 218325700