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2232304633776 = 243723182337201
BaseRepresentation
bin100000011110111111101…
…110011000011110110000
321220101222010222222001010
4200132333232120132300
5243033224441240101
64425301231310520
7320164406211600
oct40367756303660
97811863888033
102232304633776
11790795851528
1230077637b440
13132675553959
147a0890d2c00
153d1025652d6
hex207bfb987b0

2232304633776 has 240 divisors, whose sum is σ = 6933300430848. Its totient is φ = 616460544000.

The previous prime is 2232304633771. The next prime is 2232304633817. The reversal of 2232304633776 is 6773364032322.

It is a super-3 number, since 3×22323046337763 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2232304633771) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 59987976 + ... + 60025176.

Almost surely, 22232304633776 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 2232304633776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466650215424).

2232304633776 is an abundant number, since it is smaller than the sum of its proper divisors (4700995797072).

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

2232304633776 is a wasteful number, since it uses less digits than its factorization.

2232304633776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38080 (or 38067 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 48.

The spelling of 2232304633776 in words is "two trillion, two hundred thirty-two billion, three hundred four million, six hundred thirty-three thousand, seven hundred seventy-six".