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224144344130340 = 2235239132111832481
BaseRepresentation
bin110010111101101110101100…
…000000101010001100100100
31002101121222201201201211102210
4302331232230000222030210
5213334340104044132330
62112414253513203420
765132615541245064
oct6275565400521444
91071558651654383
10224144344130340
116546809a915557
1221180813400570
13980b94ac3134a
143d4c9037433a4
151ada7971a18b0
hexcbdbac02a324

224144344130340 has 96 divisors (see below), whose sum is σ = 630707261345280. Its totient is φ = 59476670668800.

The previous prime is 224144344130339. The next prime is 224144344130359. The reversal of 224144344130340 is 43031443441422.

It is a happy number.

It is a super-2 number, since 2×2241443441303402 (a number of 30 digits) contains 22 as substring.

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, 13026900 + ... + 24859380.

It is an arithmetic number, because the mean of its divisors is an integer number (6569867305680).

Almost surely, 2224144344130340 is an apocalyptic number.

224144344130340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224144344130340 is an abundant number, since it is smaller than the sum of its proper divisors (406562917214940).

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

224144344130340 is a wasteful number, since it uses less digits than its factorization.

224144344130340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11834053 (or 11834051 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 224144344130340 its reverse (43031443441422), we get a palindrome (267175787571762).

The spelling of 224144344130340 in words is "two hundred twenty-four trillion, one hundred forty-four billion, three hundred forty-four million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1321 1434 2390 2642 2868 3585 3963 4780 5284 6605 7170 7926 13210 14340 15852 19815 26420 39630 79260 315719 631438 947157 1262876 1578595 1894314 3157190 3788628 4735785 6314380 9471570 11832481 18943140 23664962 35497443 47329924 59162405 70994886 118324810 141989772 177487215 236649620 354974430 709948860 2827962959 5655925918 8483888877 11311851836 14139814795 15630707401 16967777754 28279629590 31261414802 33935555508 42419444385 46892122203 56559259180 62522829604 78153537005 84838888770 93784244406 156307074010 169677777540 187568488812 234460611015 312614148020 468921222030 937842444060 3735739068839 7471478137678 11207217206517 14942956275356 18678695344195 22414434413034 37357390688390 44828868826068 56036086032585 74714781376780 112072172065170 224144344130340