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4226484000 = 25353973631
BaseRepresentation
bin1111101111101011…
…0000011100100000
3101220112212122002110
43323322300130200
532123434442000
61535220115320
7206510343534
oct37372603440
911815778073
104226484000
111879815a92
1299b535b40
1352481c50b
142c146bbc4
1519b0b1850
hexfbeb0720

4226484000 has 192 divisors, whose sum is σ = 13992556032. Its totient is φ = 1115136000.

The previous prime is 4226483999. The next prime is 4226484011. The reversal of 4226484000 is 4846224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162185 + ... + 1165815.

It is an arithmetic number, because the mean of its divisors is an integer number (72877896).

Almost surely, 24226484000 is an apocalyptic number.

4226484000 is a gapful number since it is divisible by the number (40) 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 4226484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996278016).

4226484000 is an abundant number, since it is smaller than the sum of its proper divisors (9766072032).

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

4226484000 is a wasteful number, since it uses less digits than its factorization.

4226484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4226484000 is about 65011.4143823990. The cubic root of 4226484000 is about 1616.8128161116.

The spelling of 4226484000 in words is "four billion, two hundred twenty-six million, four hundred eighty-four thousand".