Search a number
-
+
4022023232000 = 2953432635557
BaseRepresentation
bin111010100001110011010…
…001000001101000000000
3112020111112201021210201102
4322201303101001220000
51011344100421411000
612315405244153532
7563403325251434
oct72416321015000
915214481253642
104022023232000
111310804295854
1254b5b35388a8
132323766c2c67
14dc94a20a9c4
156e94e6773d5
hex3a873441a00

4022023232000 has 320 divisors, whose sum is σ = 10303277048064. Its totient is φ = 1565138534400.

The previous prime is 4022023231991. The next prime is 4022023232027. The reversal of 4022023232000 is 2323202204.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723773222 + ... + 723778778.

Almost surely, 24022023232000 is an apocalyptic number.

4022023232000 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 4022023232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151638524032).

4022023232000 is an abundant number, since it is smaller than the sum of its proper divisors (6281253816064).

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

4022023232000 is an equidigital number, since it uses as much as digits as its factorization.

4022023232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 4022023232000 its reverse (2323202204), we get a palindrome (4024346434204).

The spelling of 4022023232000 in words is "four trillion, twenty-two billion, twenty-three million, two hundred thirty-two thousand".