Search a number
-
+
216244080 = 243451317151
BaseRepresentation
bin11001110001110…
…01111101110000
3120001220100010000
430320321331300
5420324302310
633242510000
75234021133
oct1470717560
9501810100
10216244080
11101078418
1260505300
1335a53ca0
1420a1021a
1513eb74c0
hexce39f70

216244080 has 400 divisors, whose sum is σ = 862069824. Its totient is φ = 49766400.

The previous prime is 216244057. The next prime is 216244087. The reversal of 216244080 is 80442612.

216244080 is a `hidden beast` number, since 216 + 2 + 440 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216244087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1432005 + ... + 1432155.

Almost surely, 2216244080 is an apocalyptic number.

216244080 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 216244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

216244080 is an abundant number, since it is smaller than the sum of its proper divisors (645825744).

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

216244080 is a wasteful number, since it uses less digits than its factorization.

216244080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 216244080 is about 14705.2398824365. The cubic root of 216244080 is about 600.2259149267.

Adding to 216244080 its reverse (80442612), we get a palindrome (296686692).

The spelling of 216244080 in words is "two hundred sixteen million, two hundred forty-four thousand, eighty".