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220200120200 = 23523746763719
BaseRepresentation
bin1100110100010011110…
…0110010111110001000
3210001101010101010001102
43031010330302332020
512101432212321300
6245054124440532
721623523065504
oct3150474627610
9701333333042
10220200120200
1185428255515
12368146a9148
13179c32c3a18
14a92cbbb304
155adba700d5
hex3344f32f88

220200120200 has 96 divisors (see below), whose sum is σ = 526936363200. Its totient is φ = 85514653440.

The previous prime is 220200120181. The next prime is 220200120211. The reversal of 220200120200 is 2021002022.

220200120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3423941 + ... + 3487659.

It is an arithmetic number, because the mean of its divisors is an integer number (5488920450).

Almost surely, 2220200120200 is an apocalyptic number.

220200120200 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 220200120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263468181600).

220200120200 is an abundant number, since it is smaller than the sum of its proper divisors (306736243000).

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

220200120200 is a wasteful number, since it uses less digits than its factorization.

220200120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64239 (or 64230 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220200120200 its reverse (2021002022), we get a palindrome (222221122222).

The spelling of 220200120200 in words is "two hundred twenty billion, two hundred million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 467 740 925 934 1480 1850 1868 2335 3700 3736 4670 7400 9340 11675 17279 18680 23350 34558 46700 63719 69116 86395 93400 127438 138232 172790 254876 318595 345580 431975 509752 637190 691160 863950 1274380 1592975 1727900 2357603 2548760 3185950 3455800 4715206 6371900 9430412 11788015 12743800 18860824 23576030 29756773 47152060 58940075 59513546 94304120 117880150 119027092 148783865 235760300 238054184 297567730 471520600 595135460 743919325 1101000601 1190270920 1487838650 2202001202 2975677300 4404002404 5505003005 5951354600 8808004808 11010006010 22020012020 27525015025 44040024040 55050030050 110100060100 220200120200