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218453130 = 23257346751
BaseRepresentation
bin11010000010101…
…01010010001010
3120020001120100200
431001111102022
5421411000010
633402113030
75261551410
oct1501252212
9506046320
10218453130
11102347085
12611ab776
133634860c
14210272b0
15142a1cc0
hexd05548a

218453130 has 48 divisors (see below), whose sum is σ = 649119744. Its totient is φ = 49932000.

The previous prime is 218453119. The next prime is 218453159. The reversal of 218453130 is 31354812.

It is a happy number.

218453130 is a `hidden beast` number, since 21 + 84 + 531 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 218453094 and 218453103.

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 23 ways as a sum of consecutive naturals, for example, 172746 + ... + 174005.

It is an arithmetic number, because the mean of its divisors is an integer number (13523328).

Almost surely, 2218453130 is an apocalyptic number.

218453130 is an abundant number, since it is smaller than the sum of its proper divisors (430666614).

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

218453130 is a wasteful number, since it uses less digits than its factorization.

218453130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346771 (or 346768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 218453130 is about 14780.1600126656. The cubic root of 218453130 is about 602.2628716244.

The spelling of 218453130 in words is "two hundred eighteen million, four hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 346751 693502 1040253 1733755 2080506 2427257 3120759 3467510 4854514 5201265 6241518 7281771 10402530 12136285 14563542 15603795 21845313 24272570 31207590 36408855 43690626 72817710 109226565 218453130