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223215265994112 = 2733729794027421
BaseRepresentation
bin110010110000001101011010…
…101000110101010110000000
31002021100011121200022101012000
4302300031122220311112000
5213224124331043302422
62110423402204304000
765005525243345140
oct6260153250652600
91067304550271160
10223215265994112
116513a076497617
1221050744b42000
139772156090392
143d19968520920
151ac151be45cac
hexcb035aa35580

223215265994112 has 512 divisors, whose sum is σ = 788730324480000. Its totient is φ = 60797159055360.

The previous prime is 223215265994099. The next prime is 223215265994269. The reversal of 223215265994112 is 211499562512322.

223215265994112 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 1 + 5 + 2 + 6 + 599 + 41 + 1 + 2 = 666.

It is a super-3 number, since 3×2232152659941123 (a number of 44 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 53410162 + ... + 57437582.

It is an arithmetic number, because the mean of its divisors is an integer number (1540488915000).

Almost surely, 2223215265994112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223215265994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394365162240000).

223215265994112 is an abundant number, since it is smaller than the sum of its proper divisors (565515058485888).

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

223215265994112 is a wasteful number, since it uses less digits than its factorization.

223215265994112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027559 (or 4027541 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 223215265994112 in words is "two hundred twenty-three trillion, two hundred fifteen billion, two hundred sixty-five million, nine hundred ninety-four thousand, one hundred twelve".