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24220014324 = 223111921374519
BaseRepresentation
bin10110100011101000…
…000001011011110100
32022111221020012121120
4112203220001123310
5344100310424244
615043154543540
71515123503442
oct264350013364
968457205546
1024220014324
11a2a9626270
12483b297bb0
13238ca7042c
14125a94bb92
1596b4a0819
hex5a3a016f4

24220014324 has 96 divisors (see below), whose sum is σ = 64940467200. Its totient is φ = 6948322560.

The previous prime is 24220014307. The next prime is 24220014341. The reversal of 24220014324 is 42341002242.

It is an interprime number because it is at equal distance from previous prime (24220014307) and next prime (24220014341).

It is a junction number, because it is equal to n+sod(n) for n = 24220014294 and 24220014303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5357337 + ... + 5361855.

It is an arithmetic number, because the mean of its divisors is an integer number (676463200).

Almost surely, 224220014324 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 24220014324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32470233600).

24220014324 is an abundant number, since it is smaller than the sum of its proper divisors (40720452876).

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

24220014324 is a wasteful number, since it uses less digits than its factorization.

24220014324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6693 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24220014324 its reverse (42341002242), we get a palindrome (66561016566).

The spelling of 24220014324 in words is "twenty-four billion, two hundred twenty million, fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2137 2508 4274 4519 6411 8548 9038 12822 13557 18076 23507 25644 27114 40603 47014 49709 54228 70521 81206 85861 94028 99418 121809 141042 149127 162412 171722 198836 243618 257583 282084 298254 343444 446633 487236 515166 596508 893266 944471 1030332 1339899 1786532 1888942 2679798 2833413 3777884 5359596 5666826 9657103 11333652 19314206 28971309 38628412 57942618 106228133 115885236 183484957 212456266 318684399 366969914 424912532 550454871 637368798 733939828 1100909742 1274737596 2018334527 2201819484 4036669054 6055003581 8073338108 12110007162 24220014324