Search a number
-
+
23412323224212 = 22313289487266353
BaseRepresentation
bin1010101001011000110110…
…01101011000101010010100
310001220012022001121210201020
411110230123031120222110
511032041414221133322
6121443250043201140
74634325123611256
oct524543315305224
9101805261553636
1023412323224212
11750712411392a
12276156b8161b0
13100aa07556400
145ad23bc31cd6
152a901ccde05c
hex154b1b358a94

23412323224212 has 144 divisors (see below), whose sum is σ = 59941923592320. Its totient is φ = 7108197617664.

The previous prime is 23412323224189. The next prime is 23412323224237. The reversal of 23412323224212 is 21242232321432.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87766428 + ... + 88032780.

It is an arithmetic number, because the mean of its divisors is an integer number (416263358280).

Almost surely, 223412323224212 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 23412323224212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29970961796160).

23412323224212 is an abundant number, since it is smaller than the sum of its proper divisors (36529600368108).

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

23412323224212 is a wasteful number, since it uses less digits than its factorization.

23412323224212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266962 (or 266947 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 23412323224212 its reverse (21242232321432), we get a palindrome (44654555545644).

The spelling of 23412323224212 in words is "twenty-three trillion, four hundred twelve billion, three hundred twenty-three million, two hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 169 178 267 338 356 487 507 534 676 974 1014 1068 1157 1461 1948 2028 2314 2922 3471 4628 5844 6331 6942 12662 13884 15041 18993 25324 30082 37986 43343 45123 60164 75972 82303 86686 90246 130029 164606 173372 180492 246909 260058 266353 329212 493818 520116 532706 563459 799059 987636 1065412 1126918 1598118 1690377 2253836 3196236 3380754 3462589 6761508 6925178 7324967 10387767 13850356 14649934 20775534 21974901 23705417 29299868 41551068 43949802 45013657 47410834 71116251 87899604 90027314 94821668 129713911 135040971 142232502 180054628 259427822 270081942 284465004 308170421 389141733 518855644 540163884 616340842 778283466 924511263 1232681684 1556566932 1686280843 1849022526 3372561686 3698045052 4006215473 5058842529 6745123372 8012430946 10117685058 11544538079 12018646419 16024861892 20235370116 21921650959 23089076158 24037292838 34633614237 43843301918 46178152316 48074585676 65764952877 69267228474 87686603836 131529905754 138534456948 150078995027 263059811508 300157990054 450236985081 600315980108 900473970162 1800947940324 1951026935351 3902053870702 5853080806053 7804107741404 11706161612106 23412323224212