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22221222021020 = 225114316011467187
BaseRepresentation
bin1010000110101110010000…
…00010111000011110011100
32220200022212011120102001202
411003113020002320132130
510403033030314133040
6115132142150455032
74452300411463241
oct503271002703634
986608764512052
1022221222021020
117097a70585570
1225aa756364478
13c525b5776659
1456b7274d75c8
1528805948e015
hex1435c80b879c

22221222021020 has 96 divisors (see below), whose sum is σ = 52123250462976. Its totient is φ = 7887591936000.

The previous prime is 22221222021001. The next prime is 22221222021041. The reversal of 22221222021020 is 2012022212222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22221222020983 and 22221222021001.

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, 14411867 + ... + 15879053.

It is an arithmetic number, because the mean of its divisors is an integer number (542950525656).

Almost surely, 222221222021020 is an apocalyptic number.

22221222021020 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 22221222021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26061625231488).

22221222021020 is an abundant number, since it is smaller than the sum of its proper divisors (29902028441956).

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

22221222021020 is a wasteful number, since it uses less digits than its factorization.

22221222021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468851 (or 1468849 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22221222021020 its reverse (2012022212222), we get a palindrome (24233244233242).

The spelling of 22221222021020 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1601 1892 2365 3202 4730 6404 8005 9460 16010 17611 32020 35222 68843 70444 88055 137686 176110 275372 344215 352220 688430 757273 1376860 1467187 1514546 2934374 3029092 3786365 5868748 7335935 7572730 14671870 15145460 16139057 29343740 32278114 63089041 64556228 80695285 126178082 161390570 252356164 315445205 322781140 630890410 693979451 1261780820 1387958902 2348966387 2775917804 3469897255 4697932774 6939794510 9395865548 11744831935 13879589020 23489663870 25838630257 46979327740 51677260514 101005554641 103354521028 129193151285 202011109282 258386302570 404022218564 505027773205 516772605140 1010055546410 1111061101051 2020111092820 2222122202102 4444244404204 5555305505255 11110611010510 22221222021020