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2022012021220 = 2252315776136791
BaseRepresentation
bin11101011011001001010…
…011101110100111100100
321011022011111100101110021
4131123021103232213210
5231112040034134340
64144522143004524
7266041225412032
oct35331123564744
97138144311407
102022012021220
1170a592088164
12287a67899744
131188a0a34bb9
146dc1a07d552
15378e56d2e4a
hex1d6c94ee9e4

2022012021220 has 96 divisors (see below), whose sum is σ = 4465046509056. Its totient is φ = 767680742400.

The previous prime is 2022012021187. The next prime is 2022012021259. The reversal of 2022012021220 is 221202102202.

It is a super-3 number, since 3×20220120212203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2022012021194 and 2022012021203.

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, 54941025 + ... + 54977815.

It is an arithmetic number, because the mean of its divisors is an integer number (46510901136).

Almost surely, 22022012021220 is an apocalyptic number.

2022012021220 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 2022012021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232523254528).

2022012021220 is an abundant number, since it is smaller than the sum of its proper divisors (2443034487836).

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

2022012021220 is a wasteful number, since it uses less digits than its factorization.

2022012021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37741 (or 37739 counting only the distinct ones).

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

Adding to 2022012021220 its reverse (221202102202), we get a palindrome (2243214123422).

The spelling of 2022012021220 in words is "two trillion, twenty-two billion, twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 157 230 314 460 628 761 785 1522 1570 3044 3140 3611 3805 7222 7610 14444 15220 17503 18055 35006 36110 36791 70012 72220 73582 87515 119477 147164 175030 183955 238954 350060 367910 477908 597385 735820 846193 1194770 1692386 2389540 2747971 3384772 4230965 5495942 5776187 8461930 10991884 11552374 13739855 16923860 23104748 27479710 27997951 28880935 54959420 55995902 57761870 111991804 115523740 132852301 139989755 265704602 279979510 531409204 559959020 643952873 664261505 1287905746 1328523010 2575811492 2657046020 3219764365 4395678307 6439528730 8791356614 12879057460 17582713228 21978391535 43956783070 87913566140 101100601061 202201202122 404402404244 505503005305 1011006010610 2022012021220