Search a number
-
+
220212000122220 = 223252924341835653
BaseRepresentation
bin110010000100100000011010…
…000010101110010101101100
31001212201001122220201121201200
4302010200122002232111230
5212330423134012402340
62100203555110005500
764245535435546461
oct6204403202562554
91055631586647650
10220212000122220
1164191426176a67
1220846689346890
1395b4b96a6a102
143c544639b3668
151a6d345b41330
hexc8481a0ae56c

220212000122220 has 72 divisors (see below), whose sum is σ = 667999258604496. Its totient is φ = 58721190517632.

The previous prime is 220212000122189. The next prime is 220212000122237. The reversal of 220212000122220 is 22221000212022.

220212000122220 is a `hidden beast` number, since 2 + 202 + 120 + 0 + 0 + 122 + 220 = 666.

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 = 220212000122193 and 220212000122202.

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 23 ways as a sum of consecutive naturals, for example, 15654087 + ... + 26181566.

It is an arithmetic number, because the mean of its divisors is an integer number (9277767480618).

Almost surely, 2220212000122220 is an apocalyptic number.

220212000122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212000122220 is an abundant number, since it is smaller than the sum of its proper divisors (447787258482276).

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

220212000122220 is a wasteful number, since it uses less digits than its factorization.

220212000122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41864911 (or 41864906 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212000122220 its reverse (22221000212022), we get a palindrome (242433000334242).

The spelling of 220212000122220 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 29243 58486 87729 116972 146215 175458 263187 292430 350916 438645 526374 584860 877290 1052748 1315935 1754580 2631870 5263740 41835653 83671306 125506959 167342612 209178265 251013918 376520877 418356530 502027836 627534795 753041754 836713060 1255069590 1506083508 1882604385 2510139180 3765208770 7530417540 1223400000679 2446800001358 3670200002037 4893600002716 6117000003395 7340400004074 11010600006111 12234000006790 14680800008148 18351000010185 22021200012222 24468000013580 36702000020370 44042400024444 55053000030555 73404000040740 110106000061110 220212000122220