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24320104228 = 2272329716927
BaseRepresentation
bin10110101001100101…
…110101011100100100
32022202220120022011001
4112221211311130210
5344301421313403
615101132123044
71520450321650
oct265145653444
968686508131
1024320104228
11a3500792a2
124868906484
1323a7715b24
141269d63a60
15975171c1d
hex5a9975724

24320104228 has 72 divisors (see below), whose sum is σ = 51374177792. Its totient is φ = 9866368512.

The previous prime is 24320104219. The next prime is 24320104229. The reversal of 24320104228 is 82240102342.

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 = 24320104196 and 24320104205.

It is not an unprimeable number, because it can be changed into a prime (24320104229) 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, 1428301 + ... + 1445227.

Almost surely, 224320104228 is an apocalyptic number.

24320104228 is a gapful number since it is divisible by the number (28) 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 24320104228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25687088896).

24320104228 is an abundant number, since it is smaller than the sum of its proper divisors (27054073564).

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

24320104228 is a wasteful number, since it uses less digits than its factorization.

24320104228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17081 (or 17056 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 24320104228 in words is "twenty-four billion, three hundred twenty million, one hundred four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 97 161 194 322 388 529 644 679 1058 1358 2116 2231 2716 3703 4462 7406 8924 14812 15617 16927 31234 33854 51313 62468 67708 102626 118489 205252 236978 359191 389321 473956 718382 778642 1436764 1557284 1641919 2725247 3283838 5450494 6567676 8954383 10900988 11493433 17908766 22986866 35817532 37764137 45973732 62680681 75528274 125361362 151056548 250722724 264348959 528697918 868575151 1057395836 1737150302 3474300604 6080026057 12160052114 24320104228