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216475314 = 231117296653
BaseRepresentation
bin11001110011100…
…10011010110010
3120002100002022020
430321302122302
5420404202224
633251452310
75236003236
oct1471623262
9502302266
10216475314
11101216120
12605b7096
1335b05303
1420a705c6
1514010c79
hexce726b2

216475314 has 64 divisors (see below), whose sum is σ = 517415040. Its totient is φ = 59601920.

The previous prime is 216475313. The next prime is 216475321. The reversal of 216475314 is 413574612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216475313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29212 + ... + 35864.

It is an arithmetic number, because the mean of its divisors is an integer number (8084610).

Almost surely, 2216475314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216475314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258707520).

216475314 is an abundant number, since it is smaller than the sum of its proper divisors (300939726).

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

216475314 is a wasteful number, since it uses less digits than its factorization.

216475314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715.

The product of its digits is 20160, while the sum is 33.

The square root of 216475314 is about 14713.1000812201. The cubic root of 216475314 is about 600.4397831281.

The spelling of 216475314 in words is "two hundred sixteen million, four hundred seventy-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 319 374 493 561 638 957 986 1122 1479 1914 2958 5423 6653 10846 13306 16269 19959 32538 39918 73183 113101 146366 192937 219549 226202 339303 385874 439098 578811 678606 1157622 1244111 2122307 2488222 3279929 3732333 4244614 6366921 6559858 7464666 9839787 12733842 19679574 36079219 72158438 108237657 216475314