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117236224 = 29724673
BaseRepresentation
bin1101111110011…
…10001000000000
322011121012212101
412333032020000
5220003024344
615344440144
72622330400
oct677161000
9264535771
10117236224
11601a4346
1233319054
131b399c61
14117da800
15a45b9d4
hex6fce200

117236224 has 60 divisors (see below), whose sum is σ = 272545614. Its totient is φ = 50233344.

The previous prime is 117236219. The next prime is 117236263. The reversal of 117236224 is 422632711.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 46676224 = 8400^2 + 6832^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 117236192 and 117236201.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22752 + ... + 27424.

Almost surely, 2117236224 is an apocalyptic number.

117236224 is a gapful number since it is divisible by the number (14) 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 117236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136272807).

117236224 is an abundant number, since it is smaller than the sum of its proper divisors (155309390).

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

117236224 is an frugal number, since it uses more digits than its factorization.

117236224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4682 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 117236224 is about 10827.5677785918. The cubic root of 117236224 is about 489.4262672637.

Adding to 117236224 its reverse (422632711), we get a palindrome (539868935).

The spelling of 117236224 in words is "one hundred seventeen million, two hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 4673 6272 9346 12544 18692 25088 32711 37384 65422 74768 130844 149536 228977 261688 299072 457954 523376 598144 915908 1046752 1196288 1831816 2093504 2392576 3663632 4187008 7327264 8374016 14654528 16748032 29309056 58618112 117236224