Search a number
-
+
220112012022200 = 23527324476161081
BaseRepresentation
bin110010000011000011010010…
…010010011001000110111000
31001212100111120120110212011222
4302003003102102121012320
5212322303400034202300
62100050021250011212
764235365564663004
oct6203032222310670
91055314516425158
10220112012022200
1164152a86529561
122082b223576b08
1395a8620865c9c
143c4d69a36d704
151a6a9429a7785
hexc830d24991b8

220112012022200 has 96 divisors (see below), whose sum is σ = 518982931805760. Its totient is φ = 86803209676800.

The previous prime is 220112012022187. The next prime is 220112012022269. The reversal of 220112012022200 is 2220210211022.

It is a happy number.

It is a super-2 number, since 2×2201120120222002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 32645660 + ... + 38806740.

It is an arithmetic number, because the mean of its divisors is an integer number (5406072206310).

Almost surely, 2220112012022200 is an apocalyptic number.

220112012022200 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 220112012022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259491465902880).

220112012022200 is an abundant number, since it is smaller than the sum of its proper divisors (298870919783560).

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

220112012022200 is a wasteful number, since it uses less digits than its factorization.

220112012022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163617 (or 6163608 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220112012022200 its reverse (2220210211022), we get a palindrome (222332222233222).

The spelling of 220112012022200 in words is "two hundred twenty trillion, one hundred twelve billion, twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2447 2920 3650 4894 7300 9788 12235 14600 19576 24470 48940 61175 97880 122350 178631 244700 357262 489400 714524 893155 1429048 1786310 3572620 4465775 6161081 7145240 8931550 12322162 17863100 24644324 30805405 35726200 49288648 61610810 123221620 154027025 246443240 308054050 449758913 616108100 899517826 1232216200 1799035652 2248794565 3598071304 4497589130 8995178260 11243972825 15076165207 17990356520 22487945650 30152330414 44975891300 60304660828 75380826035 89951782600 120609321656 150761652070 301523304140 376904130175 603046608280 753808260350 1100560060111 1507616520700 2201120120222 3015233041400 4402240240444 5502800300555 8804480480888 11005600601110 22011201202220 27514001502775 44022402404440 55028003005550 110056006011100 220112012022200