Search a number
-
+
216768832 = 267592139
BaseRepresentation
bin11001110101110…
…10000101000000
3120002212222221021
430322322011000
5420443100312
633302035224
75241335050
oct1472720500
9502788837
10216768832
111013a66a5
1260718b14
1335ba8aa7
1420b09560
151406cc07
hexceba140

216768832 has 84 divisors (see below), whose sum is σ = 503671840. Its totient is φ = 90669312.

The previous prime is 216768817. The next prime is 216768869. The reversal of 216768832 is 238867612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1559419 + ... + 1559557.

Almost surely, 2216768832 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 216768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251835920).

216768832 is an abundant number, since it is smaller than the sum of its proper divisors (286903008).

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

216768832 is an equidigital number, since it uses as much as digits as its factorization.

216768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 207 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 216768832 is about 14723.0714186952. The cubic root of 216768832 is about 600.7110385223.

The spelling of 216768832 in words is "two hundred sixteen million, seven hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 139 224 236 278 413 448 472 556 826 944 973 1112 1652 1888 1946 2224 3304 3481 3776 3892 4448 6608 6962 7784 8201 8896 13216 13924 15568 16402 24367 26432 27848 31136 32804 48734 55696 57407 62272 65608 97468 111392 114814 131216 194936 222784 229628 262432 389872 459256 483859 524864 779744 918512 967718 1559488 1837024 1935436 3387013 3674048 3870872 6774026 7741744 13548052 15483488 27096104 30966976 54192208 108384416 216768832