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4223016000 = 2634537319
BaseRepresentation
bin1111101110110110…
…0001110001000000
3101220022100102220000
43323231201301000
532122043003000
61535013520000
7206436021000
oct37355416100
911808312800
104223016000
111877867475
1299a343000
13523ba6b48
142c0c08000
1519ab29000
hexfbb61c40

4223016000 has 1120 divisors, whose sum is σ = 19178016000. Its totient is φ = 914457600.

The previous prime is 4223015957. The next prime is 4223016001. The reversal of 4223016000 is 6103224.

It is a happy number.

4223016000 is a `hidden beast` number, since 42 + 23 + 0 + 1 + 600 + 0 = 666.

4223016000 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 (1120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4223016001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 222263991 + ... + 222264009.

Almost surely, 24223016000 is an apocalyptic number.

4223016000 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 4223016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589008000).

4223016000 is an abundant number, since it is smaller than the sum of its proper divisors (14955000000).

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

4223016000 is an equidigital number, since it uses as much as digits as its factorization.

4223016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4223016000 is about 64984.7366694672. The cubic root of 4223016000 is about 1616.3704751363.

Adding to 4223016000 its reverse (6103224), we get a palindrome (4229119224).

The spelling of 4223016000 in words is "four billion, two hundred twenty-three million, sixteen thousand".