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20222202212000 = 255331715948109
BaseRepresentation
bin1001001100100010110010…
…01011011110111010100000
32122121020001001010102100022
410212101121023132322200
510122310032231241000
6111001541302413012
74155002010453635
oct446213113367240
978536031112308
1020222202212000
116497207a58778
122327246731168
13b38c3a304c59
144dca8ccba18c
1525105c57d585
hex1264592deea0

20222202212000 has 96 divisors (see below), whose sum is σ = 49842691975440. Its totient is φ = 8063363404800.

The previous prime is 20222202211969. The next prime is 20222202212029. The reversal of 20222202212000 is 21220222202.

It can be written as a sum of positive squares in 8 ways, for example, as 22319164816 + 20199883047184 = 149396^2 + 4494428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20222202212000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6706055 + ... + 9242054.

Almost surely, 220222202212000 is an apocalyptic number.

20222202212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222202212000 is an abundant number, since it is smaller than the sum of its proper divisors (29620489763440).

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

20222202212000 is a wasteful number, since it uses less digits than its factorization.

20222202212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15948451 (or 15948433 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20222202212000 its reverse (21220222202), we get a palindrome (20243422434202).

The spelling of 20222202212000 in words is "twenty trillion, two hundred twenty-two billion, two hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 317 400 500 634 800 1000 1268 1585 2000 2536 3170 4000 5072 6340 7925 10144 12680 15850 25360 31700 39625 50720 63400 79250 126800 158500 253600 317000 634000 1268000 15948109 31896218 63792436 79740545 127584872 159481090 255169744 318962180 398702725 510339488 637924360 797405450 1275848720 1594810900 1993513625 2551697440 3189621800 3987027250 5055550553 6379243600 7974054500 10111101106 12758487200 15948109000 20222202212 25277752765 31896218000 40444404424 50555505530 63792436000 80888808848 101111011060 126388763825 161777617696 202222022120 252777527650 404444044240 505555055300 631943819125 808888088480 1011110110600 1263887638250 2022220221200 2527775276500 4044440442400 5055550553000 10111101106000 20222202212000