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4223234323224 = 23327219367171671
BaseRepresentation
bin111101011101001100011…
…000011011001100011000
3112221201220110110022001100
4331131030120123030120
51023143140441320344
612552043240151400
7614055453306600
oct75351430331430
915851813408040
104223234323224
111389077748794
125825a8768560
132483318baa57
141085970a7c00
1574cc90c8569
hex3d74c61b318

4223234323224 has 288 divisors, whose sum is σ = 14043868300800. Its totient is φ = 1140009655680.

The previous prime is 4223234323219. The next prime is 4223234323247.

4223234323224 is a `hidden beast` number, since 4 + 2 + 2 + 323 + 4 + 3 + 2 + 322 + 4 = 666.

4223234323224 is nontrivially palindromic in base 10.

4223234323224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24514909 + ... + 24686579.

It is an arithmetic number, because the mean of its divisors is an integer number (48763431600).

Almost surely, 24223234323224 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 4223234323224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021934150400).

4223234323224 is an abundant number, since it is smaller than the sum of its proper divisors (9820633977576).

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

4223234323224 is a wasteful number, since it uses less digits than its factorization.

4223234323224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172083 (or 172069 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The spelling of 4223234323224 in words is "four trillion, two hundred twenty-three billion, two hundred thirty-four million, three hundred twenty-three thousand, two hundred twenty-four".