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223244131131040 = 25519831223723439
BaseRepresentation
bin110010110000101000010011…
…001000100101111010100000
31002021102221010100011021002111
4302300220103020211322200
5213230112440032143130
62110444534340325104
765010566453066245
oct6260502310457240
91067387110137074
10223244131131040
1165150339074188
122105625b9a3794
139774aa62b9166
143d1b105d535cc
151ac215b0ee02a
hexcb0a13225ea0

223244131131040 has 192 divisors, whose sum is σ = 562321925222400. Its totient is φ = 83510071317504.

The previous prime is 223244131131019. The next prime is 223244131131061. The reversal of 223244131131040 is 40131131442322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223244131131019) and next prime (223244131131061).

It is a super-3 number, since 3×2232441311310403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223244131130993 and 223244131131011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308225641 + ... + 308949079.

It is an arithmetic number, because the mean of its divisors is an integer number (2928760027200).

Almost surely, 2223244131131040 is an apocalyptic number.

223244131131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223244131131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281160962611200).

223244131131040 is an abundant number, since it is smaller than the sum of its proper divisors (339077794091360).

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

223244131131040 is a wasteful number, since it uses less digits than its factorization.

223244131131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724779 (or 724771 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 223244131131040 its reverse (40131131442322), we get a palindrome (263375262573362).

The spelling of 223244131131040 in words is "two hundred twenty-three trillion, two hundred forty-four billion, one hundred thirty-one million, one hundred thirty-one thousand, forty".