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320023204224 = 273833393761
BaseRepresentation
bin1001010100000101101…
…11101001000110000000
31010121000222010012012120
410222002313221012000
520220401420013344
6403003331524240
732056321232133
oct4520267510600
91117028105176
10320023204224
111137a2834a69
1252033159680
132424126c249
14116bc54821a
1584d04b0219
hex4a82de9180

320023204224 has 32 divisors (see below), whose sum is σ = 850061637240. Its totient is φ = 106674401280.

The previous prime is 320023204217. The next prime is 320023204229. The reversal of 320023204224 is 422402320023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3200232042242 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 320023204194 and 320023204203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320023204229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416696497 + ... + 416697264.

Almost surely, 2320023204224 is an apocalyptic number.

It is an amenable number.

320023204224 is an abundant number, since it is smaller than the sum of its proper divisors (530038433016).

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

320023204224 is an equidigital number, since it uses as much as digits as its factorization.

320023204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833393778 (or 833393766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 320023204224 its reverse (422402320023), we get a palindrome (742425524247).

The spelling of 320023204224 in words is "three hundred twenty billion, twenty-three million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 833393761 1666787522 2500181283 3333575044 5000362566 6667150088 10000725132 13334300176 20001450264 26668600352 40002900528 53337200704 80005801056 106674401408 160011602112 320023204224