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4220773920 = 253551171139
BaseRepresentation
bin1111101110010011…
…1110011000100000
3101220011010112100000
43323210332120200
532121004231140
61534453500000
7206410662216
oct37344763040
911804115300
104220773920
111876575a10
12999641600
135235a047c
142c07c2cb6
1519a834a30
hexfb93e620

4220773920 has 576 divisors, whose sum is σ = 16643128320. Its totient is φ = 1001548800.

The previous prime is 4220773913. The next prime is 4220773937. The reversal of 4220773920 is 293770224.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30365211 + ... + 30365349.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 24220773920 is an apocalyptic number.

4220773920 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 4220773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321564160).

4220773920 is an abundant number, since it is smaller than the sum of its proper divisors (12422354400).

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

4220773920 is a wasteful number, since it uses less digits than its factorization.

4220773920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4220773920 is about 64967.4835590852. The cubic root of 4220773920 is about 1616.0843704929.

The spelling of 4220773920 in words is "four billion, two hundred twenty million, seven hundred seventy-three thousand, nine hundred twenty".