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8223608448 = 2732111135743
BaseRepresentation
bin1111010100010101…
…00100111010000000
3210020010011121000200
413222022210322000
5113320220432243
63440004245200
7410534342556
oct75212447200
923203147020
108223608448
113540015820
1217160a0800
13a10975103
14580273bd6
15331e69ad3
hex1ea2a4e80

8223608448 has 192 divisors, whose sum is σ = 26048580480. Its totient is φ = 2469519360.

The previous prime is 8223608431. The next prime is 8223608453. The reversal of 8223608448 is 8448063228.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429065 + ... + 1434807.

It is an arithmetic number, because the mean of its divisors is an integer number (135669690).

Almost surely, 28223608448 is an apocalyptic number.

8223608448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8223608448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024290240).

8223608448 is an abundant number, since it is smaller than the sum of its proper divisors (17824972032).

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

8223608448 is a wasteful number, since it uses less digits than its factorization.

8223608448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8223608448 is about 90684.1135370468. The cubic root of 8223608448 is about 2018.4630703677.

The spelling of 8223608448 in words is "eight billion, two hundred twenty-three million, six hundred eight thousand, four hundred forty-eight".