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200210210220 = 2235107216114431
BaseRepresentation
bin1011101001110101110…
…1010101110110101100
3201010202222211110201010
42322131131111312230
511240012303211340
6231550355345220
720315252464536
oct2723535256654
9633688743633
10200210210220
11779aa498259
1232975bb2210
1315b58a3c917
149993da0856
15531bb48b80
hex2e9d755dac

200210210220 has 96 divisors (see below), whose sum is σ = 566128797696. Its totient is φ = 52862284800.

The previous prime is 200210210191. The next prime is 200210210257. The reversal of 200210210220 is 22012012002.

200210210220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 200210210196 and 200210210205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13866405 + ... + 13880835.

It is an arithmetic number, because the mean of its divisors is an integer number (5897174976).

Almost surely, 2200210210220 is an apocalyptic number.

200210210220 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 200210210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283064398848).

200210210220 is an abundant number, since it is smaller than the sum of its proper divisors (365918587476).

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

200210210220 is a wasteful number, since it uses less digits than its factorization.

200210210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16711 (or 16709 counting only the distinct ones).

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

Adding to 200210210220 its reverse (22012012002), we get a palindrome (222222222222).

The spelling of 200210210220 in words is "two hundred billion, two hundred ten million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 2161 3210 4322 6420 6483 8644 10805 12966 14431 21610 25932 28862 32415 43220 43293 57724 64830 72155 86586 129660 144310 173172 216465 231227 288620 432930 462454 693681 865860 924908 1156135 1387362 1544117 2312270 2774724 3088234 3468405 4624540 4632351 6176468 6936810 7720585 9264702 13873620 15441170 18529404 23161755 30882340 31185391 46323510 62370782 92647020 93556173 124741564 155926955 187112346 311853910 374224692 467780865 623707820 935561730 1871123460 3336836837 6673673674 10010510511 13347347348 16684184185 20021021022 33368368370 40042042044 50052552555 66736736740 100105105110 200210210220