Search a number
-
+
2002222011120 = 2435171676314657
BaseRepresentation
bin11101001000101101101…
…110110101001011110000
321002102002021221201012020
4131020231232311023300
5230301022313323440
64131450314231440
7264440633200422
oct35105556651360
97072067851166
102002222011120
11702157144711
12284064125580
13116a68a01656
146cc9da1a812
15371380e63d0
hex1d22dbb52f0

2002222011120 has 320 divisors, whose sum is σ = 6623252084736. Its totient is φ = 498610667520.

The previous prime is 2002222011043. The next prime is 2002222011157. The reversal of 2002222011120 is 211102222002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002222011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429935832 + ... + 429940488.

Almost surely, 22002222011120 is an apocalyptic number.

2002222011120 is a gapful number since it is divisible by the number (20) 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 2002222011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311626042368).

2002222011120 is an abundant number, since it is smaller than the sum of its proper divisors (4621030073616).

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

2002222011120 is a wasteful number, since it uses less digits than its factorization.

2002222011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002222011120 its reverse (211102222002), we get a palindrome (2213324233122).

The spelling of 2002222011120 in words is "two trillion, two billion, two hundred twenty-two million, eleven thousand, one hundred twenty".