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223220320323000 = 2335371113109681949
BaseRepresentation
bin110010110000010010000111…
…111001100100010110111000
31002021100122122220220212222020
4302300102013321210112320
5213224220204000314000
62110425555520154440
765006064425416650
oct6260220771442670
91067318586825866
10223220320323000
116514122a531730
1221051715768a20
139772780261830
143d19cc78c5360
151ac1715a2eba0
hexcb0487e645b8

223220320323000 has 1024 divisors, whose sum is σ = 943670407680000. Its totient is φ = 42422621184000.

The previous prime is 223220320322963. The next prime is 223220320323043. The reversal of 223220320323000 is 323023022322.

It is a super-3 number, since 3×2232203203230003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 326986026 + ... + 327667974.

It is an arithmetic number, because the mean of its divisors is an integer number (921553132500).

Almost surely, 2223220320323000 is an apocalyptic number.

223220320323000 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 223220320323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471835203840000).

223220320323000 is an abundant number, since it is smaller than the sum of its proper divisors (720450087357000).

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

223220320323000 is a wasteful number, since it uses less digits than its factorization.

223220320323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682113 (or 682099 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 223220320323000 its reverse (323023022322), we get a palindrome (223543343345322).

The spelling of 223220320323000 in words is "two hundred twenty-three trillion, two hundred twenty billion, three hundred twenty million, three hundred twenty-three thousand".