Search a number
-
+
220211200220000 = 25541137241112253
BaseRepresentation
bin110010000100011111101010…
…010111010101101101100000
31001212200222121011120101011112
4302010133222113111231200
5212330420014224020000
62100203343453202452
764245506553521153
oct6204375227255540
91055628534511145
10220211200220000
11641910556a2650
12208464a5490428
1395b4a9a11c8a2
143c543c9671c9a
151a6d2ea7d8235
hexc847ea5d5b60

220211200220000 has 480 divisors, whose sum is σ = 609499870033824. Its totient is φ = 77588582400000.

The previous prime is 220211200219943. The next prime is 220211200220107. The reversal of 220211200220000 is 22002112022.

220211200220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1961683874 + ... + 1961796126.

Almost surely, 2220211200220000 is an apocalyptic number.

220211200220000 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 220211200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304749935016912).

220211200220000 is an abundant number, since it is smaller than the sum of its proper divisors (389288669813824).

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

220211200220000 is a wasteful number, since it uses less digits than its factorization.

220211200220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112572 (or 112549 counting only the distinct ones).

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

Adding to 220211200220000 its reverse (22002112022), we get a palindrome (220233202332022).

The spelling of 220211200220000 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred million, two hundred twenty thousand".