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20221010220 = 2235477398227
BaseRepresentation
bin10010110101010001…
…000010000100101100
31221012020101202021110
4102311101002010230
5312403034311340
613142302232020
71314044515365
oct226521020454
957166352243
1020221010220
1186372622a4
123b03b85610
131ba340a108
14d9b7b6b6c
157d5375680
hex4b544212c

20221010220 has 96 divisors (see below), whose sum is σ = 58616183808. Its totient is φ = 5205192192.

The previous prime is 20221010219. The next prime is 20221010221. The reversal of 20221010220 is 2201012202.

It is an interprime number because it is at equal distance from previous prime (20221010219) and next prime (20221010221).

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 = 20221010196 and 20221010205.

It is not an unprimeable number, because it can be changed into a prime (20221010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156747 + ... + 254973.

It is an arithmetic number, because the mean of its divisors is an integer number (610585248).

Almost surely, 220221010220 is an apocalyptic number.

20221010220 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 20221010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29308091904).

20221010220 is an abundant number, since it is smaller than the sum of its proper divisors (38395173588).

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

20221010220 is a wasteful number, since it uses less digits than its factorization.

20221010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98359 (or 98357 counting only the distinct ones).

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

Adding to 20221010220 its reverse (2201012202), we get a palindrome (22422022422).

The spelling of 20221010220 in words is "twenty billion, two hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 73 94 141 146 188 219 235 282 292 365 438 470 564 705 730 876 940 1095 1410 1460 2190 2820 3431 4380 6862 10293 13724 17155 20586 34310 41172 51465 68620 98227 102930 196454 205860 294681 392908 491135 589362 982270 1178724 1473405 1964540 2946810 4616669 5893620 7170571 9233338 13850007 14341142 18466676 21511713 23083345 27700014 28682284 35852855 43023426 46166690 55400028 69250035 71705710 86046852 92333380 107558565 138500070 143411420 215117130 277000140 337016837 430234260 674033674 1011050511 1348067348 1685084185 2022101022 3370168370 4044202044 5055252555 6740336740 10110505110 20221010220