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223320012000 = 2535337502973
BaseRepresentation
bin1100111111111011101…
…0001111010011100000
3210100102120000001000120
43033332322033103200
512124324410341000
6250331454520240
722064035532121
oct3177672172340
9710376001016
10223320012000
1186789363398
1237345506080
131809c794b47
14ab472b2048
155c208e76a0
hex33fee8f4e0

223320012000 has 192 divisors, whose sum is σ = 751370727744. Its totient is φ = 57942374400.

The previous prime is 223320011989. The next prime is 223320012061. The reversal of 223320012000 is 210023322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192514 + ... + 695486.

It is an arithmetic number, because the mean of its divisors is an integer number (3913389207).

Almost surely, 2223320012000 is an apocalyptic number.

223320012000 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 223320012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375685363872).

223320012000 is an abundant number, since it is smaller than the sum of its proper divisors (528050715744).

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

223320012000 is a wasteful number, since it uses less digits than its factorization.

223320012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503038 (or 503020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 223320012000 its reverse (210023322), we get a palindrome (223530035322).

The spelling of 223320012000 in words is "two hundred twenty-three billion, three hundred twenty million, twelve thousand".