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212022210220 = 22541222927539
BaseRepresentation
bin1100010101110110000…
…0100010111010101100
3202021021012012020112121
43011131200202322230
511433210141211340
6241222431442324
721214052023402
oct3053540427254
9667235166477
10212022210220
1181a11012727
12351119863a4
1316cbbc5c132
14a394a41472
1557adb3094a
hex315d822eac

212022210220 has 72 divisors (see below), whose sum is σ = 458380717200. Its totient is φ = 82376071680.

The previous prime is 212022210217. The next prime is 212022210269. The reversal of 212022210220 is 22012220212.

It is a junction number, because it is equal to n+sod(n) for n = 212022210194 and 212022210203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7685211 + ... + 7712749.

It is an arithmetic number, because the mean of its divisors is an integer number (6366398850).

Almost surely, 2212022210220 is an apocalyptic number.

212022210220 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 212022210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229190358600).

212022210220 is an abundant number, since it is smaller than the sum of its proper divisors (246358506980).

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

212022210220 is a wasteful number, since it uses less digits than its factorization.

212022210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27859 (or 27816 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212022210220 its reverse (22012220212), we get a palindrome (234034430432).

The spelling of 212022210220 in words is "two hundred twelve billion, twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 229 410 458 820 916 1145 1681 2290 3362 4580 6724 8405 9389 16810 18778 27539 33620 37556 46945 55078 93890 110156 137695 187780 275390 384949 550780 769898 1129099 1539796 1924745 2258198 3849490 4516396 5645495 6306431 7698980 11290990 12612862 22581980 25225724 31532155 46293059 63064310 92586118 126128620 185172236 231465295 258563671 462930590 517127342 925861180 1034254684 1292818355 2585636710 5171273420 10601110511 21202221022 42404442044 53005552555 106011105110 212022210220