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114223022304 = 25317192193877
BaseRepresentation
bin110101001100000111…
…0010000000011100000
3101220211101202201220120
41222120032100003200
53332412043203204
6124250123440240
711152360445556
oct1523016200340
9356741681816
10114223022304
1144494a11296
121a179086080
13aa043a6881
145757dcdbd6
152e87c236d9
hex1a983900e0

114223022304 has 144 divisors (see below), whose sum is σ = 335063061648. Its totient is φ = 33948463104.

The previous prime is 114223022299. The next prime is 114223022341. The reversal of 114223022304 is 403220322411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492214 + ... + 686090.

It is an arithmetic number, because the mean of its divisors is an integer number (2326826817).

Almost surely, 2114223022304 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 114223022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167531530824).

114223022304 is an abundant number, since it is smaller than the sum of its proper divisors (220840039344).

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

114223022304 is a wasteful number, since it uses less digits than its factorization.

114223022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193945 (or 193918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114223022304 its reverse (403220322411), we get a palindrome (517443344715).

The spelling of 114223022304 in words is "one hundred fourteen billion, two hundred twenty-three million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 361 408 456 544 608 646 722 816 912 969 1083 1292 1444 1632 1824 1938 2166 2584 2888 3876 4332 5168 5776 6137 7752 8664 10336 11552 12274 15504 17328 18411 24548 31008 34656 36822 49096 73644 98192 147288 193877 196384 294576 387754 581631 589152 775508 1163262 1551016 2326524 3102032 3295909 3683663 4653048 6204064 6591818 7367326 9306096 9887727 11050989 13183636 14734652 18612192 19775454 22101978 26367272 29469304 39550908 44203956 52734544 58938608 62622271 69989597 79101816 88407912 105469088 117877216 125244542 139979194 158203632 176815824 187866813 209968791 250489084 279958388 316407264 353631648 375733626 419937582 500978168 559916776 751467252 839875164 1001956336 1119833552 1189823149 1502934504 1679750328 2003912672 2239667104 2379646298 3005869008 3359500656 3569469447 4759292596 6011738016 6719001312 7138938894 9518585192 14277877788 19037170384 28555755576 38074340768 57111511152 114223022304