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223403040 = 25325737599
BaseRepresentation
bin11010101000011…
…01110000100000
3120120101001100200
431110031300200
5424142344130
634100145200
75351615550
oct1524156040
9516331320
10223403040
11105118013
1262998200
133738c663
1421955160
151492d760
hexd50dc20

223403040 has 288 divisors, whose sum is σ = 896313600. Its totient is φ = 49600512.

The previous prime is 223403039. The next prime is 223403041. The reversal of 223403040 is 40304322.

223403040 is a `hidden beast` number, since 22 + 340 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (223403039) and next prime (223403041).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223403041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372661 + ... + 373259.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2223403040 is an apocalyptic number.

223403040 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 223403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

223403040 is an abundant number, since it is smaller than the sum of its proper divisors (672910560).

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

223403040 is a wasteful number, since it uses less digits than its factorization.

223403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 223403040 is about 14946.6732084434. The cubic root of 223403040 is about 606.7778137672. Note that the first 3 decimals are identical.

Adding to 223403040 its reverse (40304322), we get a palindrome (263707362).

The spelling of 223403040 in words is "two hundred twenty-three million, four hundred three thousand, forty".