Search a number
-
+
216214218 = 233112391523
BaseRepresentation
bin11001110001100…
…10101011001010
3120001211211011000
430320302223022
5420322323333
633242115430
75233535103
oct1470625312
9501754130
10216214218
11101057a40
12604abb76
1335a4350c
1420a033aa
1513ead713
hexce32aca

216214218 has 64 divisors (see below), whose sum is σ = 526694400. Its totient is φ = 65202480.

The previous prime is 216214213. The next prime is 216214223. The reversal of 216214218 is 812412612.

216214218 is a `hidden beast` number, since 21 + 621 + 4 + 2 + 18 = 666.

216214218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216214213) and next prime (216214223).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 216214191 and 216214200.

It is not an unprimeable number, because it can be changed into a prime (216214213) 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, 141205 + ... + 142727.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2216214218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216214218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

216214218 is an abundant number, since it is smaller than the sum of its proper divisors (310480182).

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

216214218 is a wasteful number, since it uses less digits than its factorization.

216214218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 216214218 is about 14704.2244950218. The cubic root of 216214218 is about 600.1982844649.

It can be divided in two parts, 2162142 and 18, that added together give a triangular number (2162160 = T2079).

The spelling of 216214218 in words is "two hundred sixteen million, two hundred fourteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 239 297 478 594 717 1434 1523 2151 2629 3046 4302 4569 5258 6453 7887 9138 12906 13707 15774 16753 23661 27414 33506 41121 47322 50259 70983 82242 100518 141966 150777 301554 363997 452331 727994 904662 1091991 2183982 3275973 4003967 6551946 8007934 9827919 12011901 19655838 24023802 36035703 72071406 108107109 216214218