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216185320 = 235133113411
BaseRepresentation
bin11001110001010…
…11100111101000
3120001210100111201
430320223213220
5420320412240
633241333544
75233354621
oct1470534750
9501710451
10216185320
1110103825a
12604972b4
1335a33310
14209d6a48
1513ea4d9a
hexce2b9e8

216185320 has 64 divisors (see below), whose sum is σ = 540771840. Its totient is φ = 77241600.

The previous prime is 216185309. The next prime is 216185327. The reversal of 216185320 is 23581612.

It is not an unprimeable number, because it can be changed into a prime (216185327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9415 + ... + 22825.

It is an arithmetic number, because the mean of its divisors is an integer number (8449560).

Almost surely, 2216185320 is an apocalyptic number.

216185320 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 216185320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270385920).

216185320 is an abundant number, since it is smaller than the sum of its proper divisors (324586520).

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

216185320 is a wasteful number, since it uses less digits than its factorization.

216185320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13466 (or 13462 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 216185320 is about 14703.2418194084. The cubic root of 216185320 is about 600.1715435426.

The spelling of 216185320 in words is "two hundred sixteen million, one hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 13411 16120 26822 53644 67055 107288 134110 174343 268220 348686 415741 536440 697372 831482 871715 1394744 1662964 1743430 2078705 3325928 3486860 4157410 5404633 6973720 8314820 10809266 16629640 21618532 27023165 43237064 54046330 108092660 216185320