Search a number
-
+
217381356 = 2232192831123
BaseRepresentation
bin11001111010011…
…11100111101100
3120011001010011100
430331033213230
5421122200411
633323123100
75246465613
oct1475174754
9504033140
10217381356
11101784915
1260973490
133606182a
1420c2887a
151413e456
hexcf4f9ec

217381356 has 72 divisors (see below), whose sum is σ = 580973120. Its totient is φ = 68343264.

The previous prime is 217381309. The next prime is 217381357. The reversal of 217381356 is 653183712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 217381356.

It is not an unprimeable number, because it can be changed into a prime (217381357) 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, 193011 + ... + 194133.

Almost surely, 2217381356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217381356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290486560).

217381356 is an abundant number, since it is smaller than the sum of its proper divisors (363591764).

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

217381356 is a wasteful number, since it uses less digits than its factorization.

217381356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 217381356 is about 14743.8582467413. The cubic root of 217381356 is about 601.2763164355.

The spelling of 217381356 in words is "two hundred seventeen million, three hundred eighty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 283 342 566 684 849 1123 1132 1698 2246 2547 3369 3396 4492 5094 5377 6738 10107 10188 10754 13476 16131 20214 21337 21508 32262 40428 42674 48393 64011 64524 85348 96786 128022 192033 193572 256044 317809 384066 635618 768132 953427 1271236 1906854 2860281 3813708 5720562 6038371 11441124 12076742 18115113 24153484 36230226 54345339 72460452 108690678 217381356