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223114213440 = 2632577939941
BaseRepresentation
bin1100111111001010100…
…1001011100001000000
3210022220012202101110200
43033302221023201000
512123414214312230
6250255223525200
722055656344246
oct3176251134100
9708805671420
10223114213440
118669317a938
12372a85b9800
1318068c5a451
14ab27c20796
155c0c7e5160
hex33f2a4b840

223114213440 has 168 divisors, whose sum is σ = 767595612888. Its totient is φ = 59483504640.

The previous prime is 223114213417. The next prime is 223114213451. The reversal of 223114213440 is 44312411322.

223114213440 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 1 + 4 + 213 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13599291456 + 209514921984 = 116616^2 + 457728^2 .

It is a super-3 number, since 3×2231142134403 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22438870 + ... + 22448810.

Almost surely, 2223114213440 is an apocalyptic number.

223114213440 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 223114213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383797806444).

223114213440 is an abundant number, since it is smaller than the sum of its proper divisors (544481399448).

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

223114213440 is a wasteful number, since it uses less digits than its factorization.

223114213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17757 (or 17744 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 223114213440 its reverse (44312411322), we get a palindrome (267426624762).

The spelling of 223114213440 in words is "two hundred twenty-three billion, one hundred fourteen million, two hundred thirteen thousand, four hundred forty".