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223007196720000 = 27354721119412213
BaseRepresentation
bin110010101101001011101000…
…101111100010101110000000
31002020121021112222021002120110
4302231023220233202232000
5213212222214330020000
62110144031501511320
764654511140606500
oct6255135057425600
91066537488232513
10223007196720000
1165069903843340
1221018356b72540
139758647084ac4
143d0d86a8a1a00
151abade0390850
hexcad2e8be2b80

223007196720000 has 3840 divisors, whose sum is σ = 1013361055660800. Its totient is φ = 42810163200000.

The previous prime is 223007196719977. The next prime is 223007196720031. The reversal of 223007196720000 is 27691700322.

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 479 ways as a sum of consecutive naturals, for example, 100771438894 + ... + 100771441106.

It is an arithmetic number, because the mean of its divisors is an integer number (263896108245).

Almost surely, 2223007196720000 is an apocalyptic number.

223007196720000 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 223007196720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506680527830400).

223007196720000 is an abundant number, since it is smaller than the sum of its proper divisors (790353858940800).

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

223007196720000 is a wasteful number, since it uses less digits than its factorization.

223007196720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 223007196720000 in words is "two hundred twenty-three trillion, seven billion, one hundred ninety-six million, seven hundred twenty thousand".