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218096730 = 232519712301
BaseRepresentation
bin11001111111111…
…10010001011010
3120012101110110200
430333332101122
5421313043410
633350323030
75255535345
oct1477762132
9505343420
10218096730
11102123335
1261059476
1336252327
1420d7345c
15142313c0
hexcffe45a

218096730 has 48 divisors (see below), whose sum is σ = 569976264. Its totient is φ = 57859200.

The previous prime is 218096729. The next prime is 218096737. The reversal of 218096730 is 37690812.

It can be written as a sum of positive squares in 4 ways, for example, as 207965241 + 10131489 = 14421^2 + 3183^2 .

It is not an unprimeable number, because it can be changed into a prime (218096737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11580 + ... + 23880.

Almost surely, 2218096730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218096730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284988132).

218096730 is an abundant number, since it is smaller than the sum of its proper divisors (351879534).

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

218096730 is a wasteful number, since it uses less digits than its factorization.

218096730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12511 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 218096730 is about 14768.0983880796. The cubic root of 218096730 is about 601.9351684947.

The spelling of 218096730 in words is "two hundred eighteen million, ninety-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1773 1970 2955 3546 5910 8865 12301 17730 24602 36903 61505 73806 110709 123010 184515 221418 369030 553545 1107090 2423297 4846594 7269891 12116485 14539782 21809673 24232970 36349455 43619346 72698910 109048365 218096730