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216732096 = 2632731097
BaseRepresentation
bin11001110101100…
…01000111000000
3120002211010112200
430322301013000
5420440411341
633301153200
75241123000
oct1472610700
9502733480
10216732096
11101381039
12606bb800
1335b95159
1420ada000
1514061db6
hexceb11c0

216732096 has 168 divisors, whose sum is σ = 725119200. Its totient is φ = 61867008.

The previous prime is 216732091. The next prime is 216732097. The reversal of 216732096 is 690237612.

It is a tau number, because it is divible by the number of its divisors (168).

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 216732096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216732091) 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, 197020 + ... + 198116.

Almost surely, 2216732096 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 216732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362559600).

216732096 is an abundant number, since it is smaller than the sum of its proper divisors (508387104).

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

216732096 is a wasteful number, since it uses less digits than its factorization.

216732096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 216732096 is about 14721.8238000596. The cubic root of 216732096 is about 600.6771022668.

The spelling of 216732096 in words is "two hundred sixteen million, seven hundred thirty-two thousand, ninety-six".