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223332096 = 2831322369
BaseRepresentation
bin11010100111111…
…00011100000000
3120120020110001010
431103330130000
5424133111341
634054440520
75351201661
oct1523743400
9516213033
10223332096
11105079789
1262963140
1337366290
1421937368
1514917716
hexd4fc700

223332096 has 72 divisors (see below), whose sum is σ = 640139920. Its totient is φ = 68714496.

The previous prime is 223332079. The next prime is 223332097. The reversal of 223332096 is 690233322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223332097) 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 7 ways as a sum of consecutive naturals, for example, 1201 + ... + 21168.

Almost surely, 2223332096 is an apocalyptic number.

223332096 is a gapful number since it is divisible by the number (26) 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 223332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320069960).

223332096 is an abundant number, since it is smaller than the sum of its proper divisors (416807824).

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

223332096 is a wasteful number, since it uses less digits than its factorization.

223332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22401 (or 22387 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 223332096 is about 14944.2997828604. The cubic root of 223332096 is about 606.7135773947.

The spelling of 223332096 in words is "two hundred twenty-three million, three hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 22369 44738 67107 89476 134214 178952 268428 290797 357904 536856 581594 715808 872391 1073712 1163188 1431616 1744782 2147424 2326376 2863232 3489564 4294848 4652752 5726464 6979128 8589696 9305504 13958256 17179392 18611008 27916512 37222016 55833024 74444032 111666048 223332096