Search a number
-
+
220202022110000 = 2454713722961629
BaseRepresentation
bin110010000100010111000111…
…010011101000001100110000
31001212200002220112100002011112
4302010113013103220030300
5212330242220130010000
62100155225030332452
764245033246053030
oct6204270723501460
91055602815302145
10220202022110000
116418817590a777
12208447637ba128
1395b3c667aaa78
143c53b987358c0
151a6ce5eb78235
hexc845c74e8330

220202022110000 has 200 divisors, whose sum is σ = 613740122418720. Its totient is φ = 74946753792000.

The previous prime is 220202022109981. The next prime is 220202022110011. The reversal of 220202022110000 is 11220202022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1890815 + ... + 21070814.

Almost surely, 2220202022110000 is an apocalyptic number.

220202022110000 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 220202022110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306870061209360).

220202022110000 is an abundant number, since it is smaller than the sum of its proper divisors (393538100308720).

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

220202022110000 is a wasteful number, since it uses less digits than its factorization.

220202022110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22961801 (or 22961780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220202022110000 its reverse (11220202022), we get a palindrome (220213242312022).

The spelling of 220202022110000 in words is "two hundred twenty trillion, two hundred two billion, twenty-two million, one hundred ten thousand".