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220310013224 = 23761724592593
BaseRepresentation
bin1100110100101110000…
…0000000010100101000
3210001122210011020221102
43031023200000110220
512102143330410344
6245113052100532
721626326133360
oct3151340002450
9701583136842
10220310013224
11854842937a4
1236845464748
1317a0ccbc492
14a93d6259a0
155ae652ae4e
hex334b800528

220310013224 has 64 divisors (see below), whose sum is σ = 473232758400. Its totient is φ = 94190874624.

The previous prime is 220310013211. The next prime is 220310013227. The reversal of 220310013224 is 422310013022.

220310013224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220310013196 and 220310013205.

It is not an unprimeable number, because it can be changed into a prime (220310013227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84962072 + ... + 84964664.

It is an arithmetic number, because the mean of its divisors is an integer number (7394261850).

Almost surely, 2220310013224 is an apocalyptic number.

It is an amenable number.

220310013224 is an abundant number, since it is smaller than the sum of its proper divisors (252922745176).

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

220310013224 is a wasteful number, since it uses less digits than its factorization.

220310013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220310013224 its reverse (422310013022), we get a palindrome (642620026246).

The spelling of 220310013224 in words is "two hundred twenty billion, three hundred ten million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 617 1234 2459 2468 2593 4319 4918 4936 5186 8638 9836 10372 17213 17276 18151 19672 20744 34426 34552 36302 68852 72604 137704 145208 1517203 1599881 3034406 3199762 6068812 6376187 6399524 10620421 11199167 12137624 12752374 12799048 21240842 22398334 25504748 42481684 44633309 44796668 51009496 84963368 89266618 89593336 178533236 357066472 3934107379 7868214758 15736429516 27538751653 31472859032 55077503306 110155006612 220310013224