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216731328 = 26311219491
BaseRepresentation
bin11001110101100…
…00111011000000
3120002211002111020
430322300323000
5420440400303
633301145440
75241120522
oct1472607300
9502732436
10216731328
11101380500
12606bb280
1335b949b8
1420ad9a12
1514061a53
hexceb0ec0

216731328 has 168 divisors, whose sum is σ = 664829760. Its totient is φ = 62092800.

The previous prime is 216731327. The next prime is 216731381. The reversal of 216731328 is 823137612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216731321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441163 + ... + 441653.

It is an arithmetic number, because the mean of its divisors is an integer number (3957320).

Almost surely, 2216731328 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 216731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332414880).

216731328 is an abundant number, since it is smaller than the sum of its proper divisors (448098432).

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

216731328 is a wasteful number, since it uses less digits than its factorization.

216731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 526 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 216731328 is about 14721.7977163117. The cubic root of 216731328 is about 600.6763927571.

The spelling of 216731328 in words is "two hundred sixteen million, seven hundred thirty-one thousand, three hundred twenty-eight".