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20221012220 = 22541792831103
BaseRepresentation
bin10010110101010001…
…000010100011111100
31221012020101212000112
4102311101002203330
5312403034342340
613142302245152
71314044524253
oct226521024374
957166355015
1020221012220
118637263852
123b03b867b8
131ba340acb6
14d9b7b779a
157d5376065
hex4b54428fc

20221012220 has 96 divisors (see below), whose sum is σ = 44246200320. Its totient is φ = 7756669440.

The previous prime is 20221012213. The next prime is 20221012277. The reversal of 20221012220 is 2221012202.

It is a junction number, because it is equal to n+sod(n) for n = 20221012195 and 20221012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18332189 + ... + 18333291.

It is an arithmetic number, because the mean of its divisors is an integer number (460897920).

Almost surely, 220221012220 is an apocalyptic number.

20221012220 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 20221012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22123100160).

20221012220 is an abundant number, since it is smaller than the sum of its proper divisors (24025188100).

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

20221012220 is a wasteful number, since it uses less digits than its factorization.

20221012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1513 counting only the distinct ones).

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

Adding to 20221012220 its reverse (2221012202), we get a palindrome (22442024422).

The spelling of 20221012220 in words is "twenty billion, two hundred twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 79 82 158 164 205 283 316 395 410 566 790 820 1103 1132 1415 1580 2206 2830 3239 4412 5515 5660 6478 11030 11603 12956 16195 22060 22357 23206 32390 44714 45223 46412 58015 64780 87137 89428 90446 111785 116030 174274 180892 223570 226115 232060 312149 348548 435685 447140 452230 624298 871370 904460 916637 1248596 1560745 1742740 1833274 3121490 3572617 3666548 4583185 6242980 7145234 9166370 12798109 14290468 17863085 18332740 24659771 25596218 35726170 49319542 51192436 63990545 71452340 98639084 123298855 127981090 246597710 255962180 493195420 1011050611 2022101222 4044202444 5055253055 10110506110 20221012220