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223988355112320 = 2735537431994549
BaseRepresentation
bin110010111011011101011010…
…010101110001110110000000
31002101002002002120212200100000
4302323131122111301312000
5213324311122402043240
62112214455123200000
765115424150414641
oct6273353225616600
91071062076780300
10223988355112320
1165407a23107537
122115653ab16000
1397ca01b95c956
143d451468016c8
151ad66b7908430
hexcbb75a571d80

223988355112320 has 1536 divisors, whose sum is σ = 847364918400000. Its totient is φ = 56466701254656.

The previous prime is 223988355112303. The next prime is 223988355112397. The reversal of 223988355112320 is 23211553889322.

223988355112320 is a `hidden beast` number, since 2 + 2 + 3 + 9 + 8 + 83 + 5 + 511 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49239029406 + ... + 49239033954.

It is an arithmetic number, because the mean of its divisors is an integer number (551669868750).

Almost surely, 2223988355112320 is an apocalyptic number.

223988355112320 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 223988355112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423682459200000).

223988355112320 is an abundant number, since it is smaller than the sum of its proper divisors (623376563287680).

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

223988355112320 is a wasteful number, since it uses less digits than its factorization.

223988355112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 223988355112320 in words is "two hundred twenty-three trillion, nine hundred eighty-eight billion, three hundred fifty-five million, one hundred twelve thousand, three hundred twenty".