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23324333424 = 2437197614801
BaseRepresentation
bin10101101110001111…
…010001010101110000
32020012111211220101220
4111232033101111300
5340232012132144
614414241225040
71453666364040
oct255617212560
966174756356
1023324333424
119989a83a17
12462b332180
132279329932
1411b39d7720
15917a28919
hex56e3d1570

23324333424 has 160 divisors (see below), whose sum is σ = 72597020160. Its totient is φ = 6303744000.

The previous prime is 23324333423. The next prime is 23324333453. The reversal of 23324333424 is 42433342332.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23324333423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4855824 + ... + 4860624.

It is an arithmetic number, because the mean of its divisors is an integer number (453731376).

Almost surely, 223324333424 is an apocalyptic number.

23324333424 is a gapful number since it is divisible by the number (24) 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 23324333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36298510080).

23324333424 is an abundant number, since it is smaller than the sum of its proper divisors (49272686736).

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

23324333424 is a wasteful number, since it uses less digits than its factorization.

23324333424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5593 counting only the distinct ones).

The product of its digits is 124416, while the sum is 33.

Adding to 23324333424 its reverse (42433342332), we get a palindrome (65757675756).

The spelling of 23324333424 in words is "twenty-three billion, three hundred twenty-four million, three hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 761 798 912 1064 1522 1596 2128 2283 3044 3192 4566 4801 5327 6088 6384 9132 9602 10654 12176 14403 14459 15981 18264 19204 21308 28806 28918 31962 33607 36528 38408 42616 43377 57612 57836 63924 67214 76816 85232 86754 91219 100821 101213 115224 115672 127848 134428 173508 182438 201642 202426 230448 231344 255696 268856 273657 303639 347016 364876 403284 404852 537712 547314 607278 638533 694032 729752 806568 809704 1094628 1214556 1277066 1459504 1613136 1619408 1915599 2189256 2429112 2554132 3653561 3831198 4378512 4858224 5108264 7307122 7662396 10216528 10960683 14614244 15324792 21921366 25574927 29228488 30649584 43842732 51149854 58456976 69417659 76724781 87685464 102299708 138835318 153449562 175370928 204599416 208252977 277670636 306899124 409198832 416505954 485923613 555341272 613798248 833011908 971847226 1110682544 1227596496 1457770839 1666023816 1943694452 2915541678 3332047632 3887388904 5831083356 7774777808 11662166712 23324333424