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22220102221120 = 265179877442327
BaseRepresentation
bin1010000110101100001010…
…10011001011110101000000
32220200012222010110200101101
411003112011103023311000
510403023232132033440
6115131435105344144
74452230563363426
oct503260523136500
986605863420341
1022220102221120
117097546477301
1225aa4a3338054
13c5246778266b
1456b65c8c3116
15287ee0ee669a
hex1435854cbd40

22220102221120 has 112 divisors (see below), whose sum is σ = 53268004045440. Its totient is φ = 8828289091584.

The previous prime is 22220102221067. The next prime is 22220102221241. The reversal of 22220102221120 is 2112220102222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50013397 + ... + 50455723.

Almost surely, 222220102221120 is an apocalyptic number.

22220102221120 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 22220102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26634002022720).

22220102221120 is an abundant number, since it is smaller than the sum of its proper divisors (31047901824320).

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

22220102221120 is a wasteful number, since it uses less digits than its factorization.

22220102221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443400 (or 443390 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22220102221120 its reverse (2112220102222), we get a palindrome (24332322323342).

The spelling of 22220102221120 in words is "twenty-two trillion, two hundred twenty billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 179 320 358 716 877 895 1432 1754 1790 2864 3508 3580 4385 5728 7016 7160 8770 11456 14032 14320 17540 28064 28640 35080 56128 57280 70160 140320 156983 280640 313966 442327 627932 784915 884654 1255864 1569830 1769308 2211635 2511728 3139660 3538616 4423270 5023456 6279320 7077232 8846540 10046912 12558640 14154464 17693080 25117280 28308928 35386160 50234560 70772320 79176533 141544640 158353066 316706132 387920779 395882665 633412264 775841558 791765330 1266824528 1551683116 1583530660 1939603895 2533649056 3103366232 3167061320 3879207790 5067298112 6206732464 6334122640 7758415580 12413464928 12668245280 15516831160 24826929856 25336490560 31033662320 62067324640 69437819441 124134649280 138875638882 277751277764 347189097205 555502555528 694378194410 1111005111056 1388756388820 2222010222112 2777512777640 4444020444224 5555025555280 11110051110560 22220102221120