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224031300212440 = 23574391652127943
BaseRepresentation
bin110010111100000101011010…
…000100010101011011011000
31002101020011221111122210200201
4302330011122010111123120
5213331012100323244230
62112250320345511544
765121504315635320
oct6274053204253330
91071204844583621
10224031300212440
1165424160538916
12211629251a25b4
1398010a3c13cb6
143d4725c1a4280
151ad787cc3c5ca
hexcbc15a1156d8

224031300212440 has 128 divisors (see below), whose sum is σ = 576320668600320. Its totient is φ = 76778714649600.

The previous prime is 224031300212381. The next prime is 224031300212459. The reversal of 224031300212440 is 44212003130422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 224031300212399 and 224031300212408.

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, 8017425109 + ... + 8017453051.

It is an arithmetic number, because the mean of its divisors is an integer number (4502505223440).

Almost surely, 2224031300212440 is an apocalyptic number.

224031300212440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224031300212440 is an abundant number, since it is smaller than the sum of its proper divisors (352289368387880).

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

224031300212440 is a wasteful number, since it uses less digits than its factorization.

224031300212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38873 (or 38869 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 224031300212440 its reverse (44212003130422), we get a palindrome (268243303342862).

The spelling of 224031300212440 in words is "two hundred twenty-four trillion, thirty-one billion, three hundred million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4391 6521 8782 13042 17564 21955 26084 27943 30737 32605 35128 43910 45647 52168 55886 61474 65210 87820 91294 111772 122948 130420 139715 153685 175640 182588 195601 223544 228235 245896 260840 279430 307370 365176 391202 456470 558860 614740 782404 912940 978005 1117720 1229480 1564808 1825880 1956010 3912020 7824040 28633711 57267422 114534844 122697713 143168555 182216303 200435977 229069688 245395426 286337110 364432606 400871954 490790852 572674220 613488565 728865212 801743908 858883991 911081515 981581704 1002179885 1145348440 1226977130 1275514121 1457730424 1603487816 1717767982 1822163030 2004359770 2453954260 2551028242 3435535964 3644326060 4008719540 4294419955 4907908520 5102056484 6377570605 6871071928 7288652120 8017439080 8588839910 10204112968 12755141210 17177679820 25510282420 34355359640 51020564840 800111786473 1600223572946 3200447145892 4000558932365 5600782505311 6400894291784 8001117864730 11201565010622 16002235729460 22403130021244 28003912526555 32004471458920 44806260042488 56007825053110 112015650106220 224031300212440