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216215248 = 24172932713
BaseRepresentation
bin11001110001100…
…10111011010000
3120001211212120011
430320302323100
5420322341443
633242124304
75233541104
oct1470627320
9501755504
10216215248
11101058797
12604b0694
1335a43b22
1420a03904
1513eadb9d
hexce32ed0

216215248 has 40 divisors (see below), whose sum is σ = 445237128. Its totient is φ = 101363712.

The previous prime is 216215243. The next prime is 216215257. The reversal of 216215248 is 842512612.

216215248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 180311184 + 35904064 = 13428^2 + 5992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216215243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78340 + ... + 81052.

Almost surely, 2216215248 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 216215248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222618564).

216215248 is an abundant number, since it is smaller than the sum of its proper divisors (229021880).

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

216215248 is a wasteful number, since it uses less digits than its factorization.

216215248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3025 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 216215248 is about 14704.2595189285. The cubic root of 216215248 is about 600.1992375371.

The spelling of 216215248 in words is "two hundred sixteen million, two hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 293 586 1172 2344 2713 4688 4981 5426 9962 10852 19924 21704 39848 43408 46121 79696 92242 184484 368968 737936 794909 1589818 3179636 6359272 12718544 13513453 27026906 54053812 108107624 216215248