Search a number
-
+
220212010000020 = 2235176123914808569
BaseRepresentation
bin110010000100100000011010…
…101000011001111010010100
31001212201001200121022110112010
4302010200122220121322110
5212330423144030000040
62100204000101424220
764245535615526643
oct6204403250317224
91055631617273463
10220212010000020
1164191430803335
122084669070b070
1395b4b98b1816c
143c5446502535a
151a6d346942e80
hexc8481aa19e94

220212010000020 has 192 divisors, whose sum is σ = 666343001318400. Its totient is φ = 54135385866240.

The previous prime is 220212010000007. The next prime is 220212010000067. The reversal of 220212010000020 is 20000010212022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220212009999960 and 220212010000005.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7466296 + ... + 22274864.

It is an arithmetic number, because the mean of its divisors is an integer number (3470536465200).

Almost surely, 2220212010000020 is an apocalyptic number.

220212010000020 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 220212010000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333171500659200).

220212010000020 is an abundant number, since it is smaller than the sum of its proper divisors (446130991318380).

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

220212010000020 is a wasteful number, since it uses less digits than its factorization.

220212010000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14808898 (or 14808896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220212010000020 its reverse (20000010212022), we get a palindrome (240212020212042).

The spelling of 220212010000020 in words is "two hundred twenty trillion, two hundred twelve billion, ten million, twenty", and thus it is an aban number.