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24232250224 = 2471324727239
BaseRepresentation
bin10110100100010110…
…101100101101110000
32022112210020212010001
4112210112230231300
5344111424001344
615044313115344
71515332504560
oct264426545560
968483225101
1024232250224
11a305523286
1248433b8b54
132392465900
14125c414da0
1596c5baed4
hex5a45acb70

24232250224 has 120 divisors (see below), whose sum is σ = 59340487680. Its totient is φ = 9382074624.

The previous prime is 24232250173. The next prime is 24232250239. The reversal of 24232250224 is 42205223242.

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 = 24232250192 and 24232250201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875997 + ... + 903235.

It is an arithmetic number, because the mean of its divisors is an integer number (494504064).

Almost surely, 224232250224 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 24232250224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29670243840).

24232250224 is an abundant number, since it is smaller than the sum of its proper divisors (35108237456).

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

24232250224 is a wasteful number, since it uses less digits than its factorization.

24232250224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27327 (or 27308 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 24232250224 its reverse (42205223242), we get a palindrome (66437473466).

The spelling of 24232250224 in words is "twenty-four billion, two hundred thirty-two million, two hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 52 56 91 94 104 112 169 182 188 208 329 338 364 376 611 658 676 728 752 1183 1222 1316 1352 1456 2366 2444 2632 2704 4277 4732 4888 5264 7943 8554 9464 9776 15886 17108 18928 27239 31772 34216 54478 55601 63544 68432 108956 111202 127088 190673 217912 222404 354107 381346 435824 444808 708214 762692 889616 1280233 1416428 1525384 2478749 2560466 2832856 3050768 4603391 4957498 5120932 5665712 8961631 9206782 9914996 10241864 16643029 17923262 18413564 19829992 20483728 32223737 33286058 35846524 36827128 39659984 64447474 66572116 71693048 73654256 116501203 128894948 133144232 143386096 216359377 233002406 257789896 266288464 432718754 466004812 515579792 865437508 932009624 1514515639 1730875016 1864019248 3029031278 3461750032 6058062556 12116125112 24232250224