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241222412224 = 267997491857
BaseRepresentation
bin1110000010100111111…
…0011110011111000000
3212001122012112012022201
43200221332132133000
512423010414142344
6302452133242544
723266500446563
oct3405176363700
9761565465281
10241222412224
1193335843682
123a900a93454
1319993712281
14b964b744da
15641c4224d4
hex3829f9e7c0

241222412224 has 56 divisors (see below), whose sum is σ = 489733173440. Its totient is φ = 117856567296.

The previous prime is 241222412107. The next prime is 241222412231. The reversal of 241222412224 is 422214222142.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 241222412192 and 241222412201.

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, 244504 + ... + 736360.

It is an arithmetic number, because the mean of its divisors is an integer number (8745235240).

Almost surely, 2241222412224 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 241222412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244866586720).

241222412224 is an abundant number, since it is smaller than the sum of its proper divisors (248510761216).

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

241222412224 is an equidigital number, since it uses as much as digits as its factorization.

241222412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492045 (or 492035 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

Adding to 241222412224 its reverse (422214222142), we get a palindrome (663436634366).

The spelling of 241222412224 in words is "two hundred forty-one billion, two hundred twenty-two million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 79 97 158 194 316 388 632 776 1264 1552 2528 3104 5056 6208 7663 15326 30652 61304 122608 245216 490432 491857 983714 1967428 3934856 7869712 15739424 31478848 38856703 47710129 77713406 95420258 155426812 190840516 310853624 381681032 621707248 763362064 1243414496 1526724128 2486828992 3053448256 3769100191 7538200382 15076400764 30152801528 60305603056 120611206112 241222412224