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2323210322424 = 2331915146173189
BaseRepresentation
bin100001110011101010001…
…000000100000111111000
322020002121112002102102110
4201303222020010013320
5301030413320304144
64535133523532320
7326563213626045
oct41635210040770
98202545072373
102323210322424
118162a472a932
1231630652a0a0
1313b101bb1974
14806303cc1cc
15406731940b9
hex21cea2041f8

2323210322424 has 128 divisors (see below), whose sum is σ = 6167633472000. Its totient is φ = 727195968000.

The previous prime is 2323210322413. The next prime is 2323210322429. The reversal of 2323210322424 is 4242230123232.

It is a junction number, because it is equal to n+sod(n) for n = 2323210322391 and 2323210322400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323210322429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31706022 + ... + 31779210.

It is an arithmetic number, because the mean of its divisors is an integer number (48184636500).

Almost surely, 22323210322424 is an apocalyptic number.

2323210322424 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 2323210322424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083816736000).

2323210322424 is an abundant number, since it is smaller than the sum of its proper divisors (3844423149576).

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

2323210322424 is a wasteful number, since it uses less digits than its factorization.

2323210322424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73829 (or 73825 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2323210322424 its reverse (4242230123232), we get a palindrome (6565440445656).

The spelling of 2323210322424 in words is "two trillion, three hundred twenty-three billion, two hundred ten million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 151 152 228 302 453 456 461 604 906 922 1208 1383 1812 1844 2766 2869 3624 3688 5532 5738 8607 8759 11064 11476 17214 17518 22952 26277 34428 35036 52554 68856 69611 70072 73189 105108 139222 146378 208833 210216 219567 278444 292756 417666 439134 556888 585512 835332 878268 1322609 1390591 1670664 1756536 2645218 2781182 3967827 4171773 5290436 5562364 7935654 8343546 10580872 11051539 11124728 15871308 16687092 22103078 31742616 33154617 33374184 33740129 44206156 66309234 67480258 88412312 101220387 132618468 134960516 202440774 209979241 265236936 269921032 404881548 419958482 629937723 641062451 809763096 839916964 1259875446 1282124902 1679833928 1923187353 2519750892 2564249804 3846374706 5039501784 5094759479 5128499608 7692749412 10189518958 15284278437 15385498824 20379037916 30568556874 40758075832 61137113748 96800430101 122274227496 193600860202 290401290303 387201720404 580802580606 774403440808 1161605161212 2323210322424