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220122100220 = 225116158727943
BaseRepresentation
bin1100110100000001001…
…1001011000111111100
3210001011200120021202112
43031000103023013330
512101302224201340
6245042300313152
721621554660141
oct3150023130774
9701150507675
10220122100220
11853982069a0
12367b25427b8
13179b00a7959
14a9226ac3c8
155ad4cad065
hex33404cb1fc

220122100220 has 96 divisors (see below), whose sum is σ = 513438137856. Its totient is φ = 78595257600.

The previous prime is 220122100189. The next prime is 220122100223. The reversal of 220122100220 is 22001221022.

It is a junction number, because it is equal to n+sod(n) for n = 220122100195 and 220122100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122100223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7863569 + ... + 7891511.

It is an arithmetic number, because the mean of its divisors is an integer number (5348313936).

Almost surely, 2220122100220 is an apocalyptic number.

220122100220 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 220122100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256719068928).

220122100220 is an abundant number, since it is smaller than the sum of its proper divisors (293316037636).

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

220122100220 is a wasteful number, since it uses less digits than its factorization.

220122100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28611 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220122100220 its reverse (22001221022), we get a palindrome (242123321242).

It can be divided in two parts, 2201221002 and 20, that added together give a palindrome (2201221022).

The spelling of 220122100220 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 587 610 671 1174 1220 1342 2348 2684 2935 3355 5870 6457 6710 11740 12914 13420 25828 27943 32285 35807 55886 64570 71614 111772 129140 139715 143228 179035 279430 307373 358070 393877 558860 614746 716140 787754 1229492 1536865 1575508 1704523 1969385 3073730 3409046 3938770 6147460 6818092 7877540 8522615 16402541 17045230 18749753 32805082 34090460 37499506 65610164 74999012 82012705 93748765 164025410 180427951 187497530 328050820 360855902 374995060 721711804 902139755 1000555001 1804279510 2001110002 3608559020 4002220004 5002775005 10005550010 11006105011 20011100020 22012210022 44024420044 55030525055 110061050110 220122100220