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13666224 = 24311213181
BaseRepresentation
bin110100001000…
…011110110000
3221201022112110
4310020132300
511444304344
61204525320
7224106135
oct64103660
927638473
1013666224
117794700
1246b0840
132aa6530
141b5a58c
1512ee3b9
hexd087b0

13666224 has 120 divisors (see below), whose sum is σ = 42021616. Its totient is φ = 3801600.

The previous prime is 13666223. The next prime is 13666231. The reversal of 13666224 is 42266631.

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 = 13666191 and 13666200.

It is not an unprimeable number, because it can be changed into a prime (13666223) 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, 75414 + ... + 75594.

Almost surely, 213666224 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 13666224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21010808).

13666224 is an abundant number, since it is smaller than the sum of its proper divisors (28355392).

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

13666224 is a wasteful number, since it uses less digits than its factorization.

13666224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 13666224 is about 3696.7856307879. The cubic root of 13666224 is about 239.0834486235.

The spelling of 13666224 in words is "thirteen million, six hundred sixty-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 88 104 121 132 143 156 176 181 208 242 264 286 312 362 363 429 484 528 543 572 624 724 726 858 968 1086 1144 1448 1452 1573 1716 1936 1991 2172 2288 2353 2896 2904 3146 3432 3982 4344 4706 4719 5808 5973 6292 6864 7059 7964 8688 9412 9438 11946 12584 14118 15928 18824 18876 21901 23892 25168 25883 28236 31856 37648 37752 43802 47784 51766 56472 65703 75504 77649 87604 95568 103532 112944 131406 155298 175208 207064 262812 284713 310596 350416 414128 525624 569426 621192 854139 1051248 1138852 1242384 1708278 2277704 3416556 4555408 6833112 13666224