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223983936 = 263211232953
BaseRepresentation
bin11010101100110…
…11100101000000
3120121110120012100
431112123211000
5424314441221
634120430400
75356555251
oct1526334500
9517416170
10223983936
111054844a0
1263018400
1337533b97
1421a66b28
15149e5926
hexd59b940

223983936 has 336 divisors, whose sum is σ = 770290560. Its totient is φ = 61501440.

The previous prime is 223983911. The next prime is 223983937. The reversal of 223983936 is 639389322.

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 = 223983891 and 223983900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223983937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4226086 + ... + 4226138.

Almost surely, 2223983936 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 223983936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385145280).

223983936 is an abundant number, since it is smaller than the sum of its proper divisors (546306624).

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

223983936 is a wasteful number, since it uses less digits than its factorization.

223983936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 223983936 is about 14966.0928769001. The cubic root of 223983936 is about 607.3032762408.

The spelling of 223983936 in words is "two hundred twenty-three million, nine hundred eighty-three thousand, nine hundred thirty-six".