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117229216 = 2513253409
BaseRepresentation
bin1101111110011…
…00011010100000
322011120212020211
412333030122200
5220002313331
615344343504
72622301066
oct677143240
9264525224
10117229216
116019a055
1233314b94
131b396a00
14117d8036
15a4598b1
hex6fcc6a0

117229216 has 72 divisors (see below), whose sum is σ = 255252060. Its totient is φ = 52955136.

The previous prime is 117229213. The next prime is 117229241. The reversal of 117229216 is 612922711.

It can be written as a sum of positive squares in 6 ways, for example, as 54819216 + 62410000 = 7404^2 + 7900^2 .

It is not an unprimeable number, because it can be changed into a prime (117229213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286420 + ... + 286828.

Almost surely, 2117229216 is an apocalyptic number.

117229216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127626030).

117229216 is an abundant number, since it is smaller than the sum of its proper divisors (138022844).

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

117229216 is a wasteful number, since it uses less digits than its factorization.

117229216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The square root of 117229216 is about 10827.2441553703. The cubic root of 117229216 is about 489.4165149661.

It can be divided in two parts, 11 and 7229216, that added together give a palindrome (7229227).

The spelling of 117229216 in words is "one hundred seventeen million, two hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 169 208 212 338 409 416 424 676 689 818 848 1352 1378 1636 1696 2704 2756 3272 5317 5408 5512 6544 8957 10634 11024 13088 17914 21268 21677 22048 35828 42536 43354 69121 71656 85072 86708 138242 143312 170144 173416 276484 281801 286624 346832 552968 563602 693664 1105936 1127204 2211872 2254408 3663413 4508816 7326826 9017632 14653652 29307304 58614608 117229216