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216347648 = 2101119207
BaseRepresentation
bin11001110010100…
…11010000000000
3120002002121011212
430321103100000
5420341111043
633245025252
75234632106
oct1471232000
9502077155
10216347648
11101139210
1260555228
1335a8c17a
1420a39c76
1513ed8018
hexce53400

216347648 has 44 divisors (see below), whose sum is σ = 471825312. Its totient is φ = 98334720.

The previous prime is 216347647. The next prime is 216347657. The reversal of 216347648 is 846743612.

216347648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (44).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216347641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1661 + ... + 20867.

Almost surely, 2216347648 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 216347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235912656).

216347648 is an abundant number, since it is smaller than the sum of its proper divisors (255477664).

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

216347648 is a wasteful number, since it uses less digits than its factorization.

216347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19238 (or 19220 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 216347648 is about 14708.7609267402. The cubic root of 216347648 is about 600.3217237552.

The spelling of 216347648 in words is "two hundred sixteen million, three hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 19207 38414 76828 153656 211277 307312 422554 614624 845108 1229248 1690216 2458496 3380432 4916992 6760864 9833984 13521728 19667968 27043456 54086912 108173824 216347648