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220232344224 = 2532294086919
BaseRepresentation
bin1100110100011011011…
…1101110001010100000
3210001110101000021002210
43031012313232022200
512102013440003344
6245101235242120
721624364016214
oct3150667561240
9701411007083
10220232344224
1185444464942
1236823449340
13179c9b970a9
14a9331a8944
155ade7d7db9
hex3346dee2a0

220232344224 has 24 divisors (see below), whose sum is σ = 578109903840. Its totient is φ = 73410781376.

The previous prime is 220232344217. The next prime is 220232344237. The reversal of 220232344224 is 422443232022.

220232344224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 220232344191 and 220232344200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1147043364 + ... + 1147043555.

It is an arithmetic number, because the mean of its divisors is an integer number (24087912660).

Almost surely, 2220232344224 is an apocalyptic number.

220232344224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220232344224 is an abundant number, since it is smaller than the sum of its proper divisors (357877559616).

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

220232344224 is a wasteful number, since it uses less digits than its factorization.

220232344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294086932 (or 2294086924 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 220232344224 its reverse (422443232022), we get a palindrome (642675576246).

The spelling of 220232344224 in words is "two hundred twenty billion, two hundred thirty-two million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2294086919 4588173838 6882260757 9176347676 13764521514 18352695352 27529043028 36705390704 55058086056 73410781408 110116172112 220232344224