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117882216 = 2336172941
BaseRepresentation
bin1110000011010…
…11110101101000
322012211001000000
413001223311220
5220134212331
615410343000
72630660634
oct701536550
9265731000
10117882216
11605a5721
123358aa60
131b564cba
1411927dc4
15a5380e6
hex706bd68

117882216 has 224 divisors, whose sum is σ = 371838600. Its totient is φ = 34836480.

The previous prime is 117882211. The next prime is 117882241. The reversal of 117882216 is 612288711.

It can be written as a sum of positive squares in 4 ways, for example, as 89302500 + 28579716 = 9450^2 + 5346^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117882211) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2875156 + ... + 2875196.

Almost surely, 2117882216 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 117882216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185919300).

117882216 is an abundant number, since it is smaller than the sum of its proper divisors (253956384).

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

117882216 is a wasteful number, since it uses less digits than its factorization.

117882216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 117882216 is about 10857.3576896039. The cubic root of 117882216 is about 490.3235624988.

The spelling of 117882216 in words is "one hundred seventeen million, eight hundred eighty-two thousand, two hundred sixteen".