Search a number
-
+
2002222012032 = 27341138945131
BaseRepresentation
bin11101001000101101101…
…110110101011010000000
321002102002021221202110000
4131020231232311122000
5230301022313341112
64131450314240000
7264440633203164
oct35105556653200
97072067852400
102002222012032
11702157145370
12284064126000
13116a68a01ba8
146cc9da1aca4
15371380e67dc
hex1d22dbb5680

2002222012032 has 320 divisors, whose sum is σ = 6517123984800. Its totient is φ = 605160806400.

The previous prime is 2002222012031. The next prime is 2002222012097. The reversal of 2002222012032 is 2302102222002.

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 = 2002222011996 and 2002222012014.

It is not an unprimeable number, because it can be changed into a prime (2002222012031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44342107 + ... + 44387237.

Almost surely, 22002222012032 is an apocalyptic number.

2002222012032 is a gapful number since it is divisible by the number (22) 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 2002222012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258561992400).

2002222012032 is an abundant number, since it is smaller than the sum of its proper divisors (4514901972768).

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

2002222012032 is a wasteful number, since it uses less digits than its factorization.

2002222012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45557 (or 45536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2002222012032 its reverse (2302102222002), we get a palindrome (4304324234034).

The spelling of 2002222012032 in words is "two trillion, two billion, two hundred twenty-two million, twelve thousand, thirty-two".