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218358940 = 225531131823
BaseRepresentation
bin11010000001111…
…10010010011100
3120012212210011011
431000332102130
5421344441230
633400105004
75261006662
oct1500762234
9505783134
10218358940
11102292338
1261165164
1336314797
1421000c32
1514283e2a
hexd03e49c

218358940 has 48 divisors (see below), whose sum is σ = 471598848. Its totient is φ = 84890624.

The previous prime is 218358929. The next prime is 218358949. The reversal of 218358940 is 49853812.

It is a junction number, because it is equal to n+sod(n) for n = 218358893 and 218358902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218358949) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 118869 + ... + 120691.

It is an arithmetic number, because the mean of its divisors is an integer number (9824976).

Almost surely, 2218358940 is an apocalyptic number.

218358940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218358940 is an abundant number, since it is smaller than the sum of its proper divisors (253239908).

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

218358940 is a wasteful number, since it uses less digits than its factorization.

218358940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 218358940 is about 14776.9733030821. The cubic root of 218358940 is about 602.1763003543.

The spelling of 218358940 in words is "two hundred eighteen million, three hundred fifty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 106 113 212 226 265 452 530 565 1060 1130 1823 2260 3646 5989 7292 9115 11978 18230 23956 29945 36460 59890 96619 119780 193238 205999 386476 411998 483095 823996 966190 1029995 1932380 2059990 4119980 10917947 21835894 43671788 54589735 109179470 218358940