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218400534 = 232119771129
BaseRepresentation
bin11010000010010…
…00011100010110
3120012221220012200
431001020130112
5421402304114
633401025330
75261242152
oct1501103426
9505856180
10218400534
11102310610
1261185246
133632a6b1
1421012062
1514291409
hexd048716

218400534 has 48 divisors (see below), whose sum is σ = 517205520. Its totient is φ = 66055680.

The previous prime is 218400521. The next prime is 218400541. The reversal of 218400534 is 435004812.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 218400498 and 218400507.

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 23 ways as a sum of consecutive naturals, for example, 192882 + ... + 194010.

It is an arithmetic number, because the mean of its divisors is an integer number (10775115).

Almost surely, 2218400534 is an apocalyptic number.

218400534 is an abundant number, since it is smaller than the sum of its proper divisors (298804986).

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

218400534 is a wasteful number, since it uses less digits than its factorization.

218400534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 218400534 is about 14778.3806284721. The cubic root of 218400534 is about 602.2145330166.

The spelling of 218400534 in words is "two hundred eighteen million, four hundred thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 977 1129 1954 2258 2931 3387 5862 6774 8793 10161 10747 12419 17586 20322 21494 24838 32241 37257 64482 74514 96723 111771 193446 223542 1103033 2206066 3309099 6618198 9927297 12133363 19854594 24266726 36400089 72800178 109200267 218400534