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216799716 = 223723071201
BaseRepresentation
bin11001110110000…
…01100111100100
3120002221120022010
430323001213210
5421000042331
633302434220
75241524100
oct1473014744
9502846263
10216799716
11101417921
1260732970
1335bb9b73
1420b16900
1514076e46
hexcec19e4

216799716 has 72 divisors (see below), whose sum is σ = 590864736. Its totient is φ = 61689600.

The previous prime is 216799703. The next prime is 216799717. The reversal of 216799716 is 617997612.

It is a happy number.

216799716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216799717) 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, 179916 + ... + 181116.

Almost surely, 2216799716 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 216799716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295432368).

216799716 is an abundant number, since it is smaller than the sum of its proper divisors (374065020).

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

216799716 is a wasteful number, since it uses less digits than its factorization.

216799716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1520 counting only the distinct ones).

The product of its digits is 285768, while the sum is 48.

The square root of 216799716 is about 14724.1202114082. The cubic root of 216799716 is about 600.7395658073.

The spelling of 216799716 in words is "two hundred sixteen million, seven hundred ninety-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 307 588 614 921 1201 1228 1842 2149 2402 3603 3684 4298 4804 6447 7206 8407 8596 12894 14412 15043 16814 25221 25788 30086 33628 45129 50442 58849 60172 90258 100884 117698 176547 180516 235396 353094 368707 706188 737414 1106121 1474828 2212242 2580949 4424484 5161898 7742847 10323796 15485694 18066643 30971388 36133286 54199929 72266572 108399858 216799716