Search a number
-
+
2422038780192 = 2533123312792731
BaseRepresentation
bin100011001111101100110…
…000101101100100100000
322120112201001021020212010
4203033230300231210200
5304140313411431232
65052400320432520
7336662243642403
oct43175460554440
98515631236763
102422038780192
118541a9826a09
123314a7a78740
13147521a81c45
1485327a09d3a
15430096150cc
hex233ecc2d920

2422038780192 has 192 divisors, whose sum is σ = 6598679592960. Its totient is φ = 777056716800.

The previous prime is 2422038780179. The next prime is 2422038780193. The reversal of 2422038780192 is 2910878302242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2422038780193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886867467 + ... + 886870197.

It is an arithmetic number, because the mean of its divisors is an integer number (34368122880).

Almost surely, 22422038780192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422038780192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299339796480).

2422038780192 is an abundant number, since it is smaller than the sum of its proper divisors (4176640812768).

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

2422038780192 is a wasteful number, since it uses less digits than its factorization.

2422038780192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 2422038780192 in words is "two trillion, four hundred twenty-two billion, thirty-eight million, seven hundred eighty thousand, one hundred ninety-two".