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224005014417152 = 285331253528263
BaseRepresentation
bin110010111011101100111011…
…010011111110111100000000
31002101010200002121022001100002
4302323230323103332330000
5213330044232142322102
62112230252154015132
765116554036234533
oct6273547323767400
91071120077261302
10224005014417152
1165413aa1926861
122115980a1174a8
1397cb7751a7187
143d45c87156a1a
151ad6d40233902
hexcbbb3b4fef00

224005014417152 has 72 divisors (see below), whose sum is σ = 455586958167264. Its totient is φ = 109885528223744.

The previous prime is 224005014417139. The next prime is 224005014417203. The reversal of 224005014417152 is 251714410500422.

It is a super-2 number, since 2×2240050144171522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423776573 + ... + 424304835.

It is an arithmetic number, because the mean of its divisors is an integer number (6327596641212).

Almost surely, 2224005014417152 is an apocalyptic number.

It is an amenable number.

224005014417152 is an abundant number, since it is smaller than the sum of its proper divisors (231581943750112).

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

224005014417152 is an equidigital number, since it uses as much as digits as its factorization.

224005014417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559585 (or 559571 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

Adding to 224005014417152 its reverse (251714410500422), we get a palindrome (475719424917574).

The spelling of 224005014417152 in words is "two hundred twenty-four trillion, five billion, fourteen million, four hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 31253 62506 125012 250024 500048 528263 1000096 1056526 1656409 2000192 2113052 3312818 4000384 4226104 6625636 8000768 8452208 13251272 16904416 26502544 27997939 33808832 53005088 55995878 67617664 106010176 111991756 135235328 212020352 223983512 424040704 447967024 895934048 1791868096 3583736192 7167472384 16509803539 33019607078 66039214156 132078428312 264156856624 528313713248 875019587567 1056627426496 1750039175134 2113254852992 3500078350268 4226509705984 7000156700536 14000313401072 28000626802144 56001253604288 112002507208576 224005014417152