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8223434604 = 22347411312
BaseRepresentation
bin1111010100010011…
…11010011101101100
3210020002211202120000
413222021322131230
5113320144401404
63440000424300
7410533020000
oct75211723554
923202752500
108223434604
11353aa07150
121716018090
13a10913c48
1458022a700
15331e33339
hex1ea27a76c

8223434604 has 450 divisors, whose sum is σ = 28270078452. Its totient is φ = 2067055200.

The previous prime is 8223434591. The next prime is 8223434623. The reversal of 8223434604 is 4064343228.

8223434604 is a `hidden beast` number, since 8 + 2 + 2 + 3 + 43 + 4 + 604 = 666.

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

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 149 ways as a sum of consecutive naturals, for example, 265272069 + ... + 265272099.

Almost surely, 28223434604 is an apocalyptic number.

8223434604 is a gapful number since it is divisible by the number (84) 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 8223434604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135039226).

8223434604 is an abundant number, since it is smaller than the sum of its proper divisors (20046643848).

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

8223434604 is a wasteful number, since it uses less digits than its factorization.

8223434604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 8223434604 is about 90683.1550178973. The cubic root of 8223434604 is about 2018.4488470832.

The spelling of 8223434604 in words is "eight billion, two hundred twenty-three million, four hundred thirty-four thousand, six hundred four".