Search a number
-
+
4032050022 = 2337111397769
BaseRepresentation
bin1111000001010100…
…0011001101100110
3101102000000100211000
43300111003031212
531224201100042
61504032454130
7201626600610
oct36025031546
911360010730
104032050022
111789a94950
129463aa346
134c3463820
142a36d7db0
15188ea674c
hexf0543366

4032050022 has 256 divisors, whose sum is σ = 12170188800. Its totient is φ = 955514880.

The previous prime is 4032049997. The next prime is 4032050069. The reversal of 4032050022 is 2200502304.

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

It is a junction number, because it is equal to n+sod(n) for n = 4032049977 and 4032050004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5242854 + ... + 5243622.

It is an arithmetic number, because the mean of its divisors is an integer number (47539800).

Almost surely, 24032050022 is an apocalyptic number.

4032050022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032050022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085094400).

4032050022 is an abundant number, since it is smaller than the sum of its proper divisors (8138138778).

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

4032050022 is a wasteful number, since it uses less digits than its factorization.

4032050022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4032050022 is about 63498.4253505550. The cubic root of 4032050022 is about 1591.6294651551.

Adding to 4032050022 its reverse (2200502304), we get a palindrome (6232552326).

The spelling of 4032050022 in words is "four billion, thirty-two million, fifty thousand, twenty-two".