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116626224 = 243111321307
BaseRepresentation
bin1101111001110…
…01001100110000
322010110020002210
412330321030300
5214324014344
615323412120
72614210101
oct674711460
9263406083
10116626224
115a918010
1233084040
131b215400
14116bc3a8
15a38adb9
hex6f39330

116626224 has 120 divisors (see below), whose sum is σ = 356173632. Its totient is φ = 32597760.

The previous prime is 116626217. The next prime is 116626229. The reversal of 116626224 is 422626611.

It is a super-2 number, since 2×1166262242 = 27203352248996352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116626191 and 116626200.

It is not an unprimeable number, because it can be changed into a prime (116626229) 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, 88579 + ... + 89885.

Almost surely, 2116626224 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 116626224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178086816).

116626224 is an abundant number, since it is smaller than the sum of its proper divisors (239547408).

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

116626224 is a wasteful number, since it uses less digits than its factorization.

116626224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1336 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 116626224 is about 10799.3622033896. The cubic root of 116626224 is about 488.5759347271.

The spelling of 116626224 in words is "one hundred sixteen million, six hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 169 176 208 264 286 312 338 429 507 528 572 624 676 858 1014 1144 1307 1352 1716 1859 2028 2288 2614 2704 3432 3718 3921 4056 5228 5577 6864 7436 7842 8112 10456 11154 14377 14872 15684 16991 20912 22308 28754 29744 31368 33982 43131 44616 50973 57508 62736 67964 86262 89232 101946 115016 135928 172524 186901 203892 220883 230032 271856 345048 373802 407784 441766 560703 662649 690096 747604 815568 883532 1121406 1325298 1495208 1767064 2242812 2429713 2650596 2990416 3534128 4485624 4859426 5301192 7289139 8971248 9718852 10602384 14578278 19437704 29156556 38875408 58313112 116626224