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216243104 = 257111931149
BaseRepresentation
bin11001110001110…
…01101110100000
3120001220021202212
430320321232200
5420324234404
633242501252
75234015240
oct1470715640
9501807685
10216243104
11101077710
1260504828
1335a536cc
1420a0db20
1513eb706e
hexce39ba0

216243104 has 192 divisors, whose sum is σ = 580608000. Its totient is φ = 76723200.

The previous prime is 216243091. The next prime is 216243149. The reversal of 216243104 is 401342612.

216243104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2162431042 = 93522160055109632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216243104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1451222 + ... + 1451370.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2216243104 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 216243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

216243104 is an abundant number, since it is smaller than the sum of its proper divisors (364364896).

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

216243104 is a wasteful number, since it uses less digits than its factorization.

216243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 216243104 is about 14705.2066969492. The cubic root of 216243104 is about 600.2250119018.

Adding to 216243104 its reverse (401342612), we get a palindrome (617585716).

The spelling of 216243104 in words is "two hundred sixteen million, two hundred forty-three thousand, one hundred four".