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223043328000 = 211335323261
BaseRepresentation
bin1100111110111001101…
…0110001100000000000
3210022201021101000221000
43033232122301200000
512123243042444000
6250244212332000
722054136002203
oct3175632614000
9708637330830
10223043328000
1186657164629
1237288914000
131805736b8bc
14ab1c64b93a
155c06492000
hex33ee6b1800

223043328000 has 1152 divisors, whose sum is σ = 876103300800. Its totient is φ = 55959552000.

The previous prime is 223043327893. The next prime is 223043328031. The reversal of 223043328000 is 823340322.

223043328000 is a `hidden beast` number, since 22 + 304 + 332 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3656447970 + ... + 3656448030.

Almost surely, 2223043328000 is an apocalyptic number.

223043328000 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 223043328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438051650400).

223043328000 is an abundant number, since it is smaller than the sum of its proper divisors (653059972800).

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

223043328000 is an equidigital number, since it uses as much as digits as its factorization.

223043328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223043328000 its reverse (823340322), we get a palindrome (223866668322).

The spelling of 223043328000 in words is "two hundred twenty-three billion, forty-three million, three hundred twenty-eight thousand".