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2202221320000 = 2654134235041
BaseRepresentation
bin100000000010111110100…
…111101001011101000000
321210112022120221021122121
4200002332213221131000
5242040122124220000
64403404141414024
7315051045235462
oct40027647513500
97715276837577
102202221320000
11779a58583639
122b697b56a314
1312c88cb3b080
147883399c132
153c441480b1a
hex200be9e9740

2202221320000 has 140 divisors (see below), whose sum is σ = 5880855551956. Its totient is φ = 813127680000.

The previous prime is 2202221319971. The next prime is 2202221320007. The reversal of 2202221320000 is 231222022.

It can be written as a sum of positive squares in 10 ways, for example, as 1567063326976 + 635157993024 = 1251824^2 + 796968^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202221320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1597521 + ... + 2637520.

Almost surely, 22202221320000 is an apocalyptic number.

2202221320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202221320000 is an abundant number, since it is smaller than the sum of its proper divisors (3678634231956).

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

2202221320000 is an equidigital number, since it uses as much as digits as its factorization.

2202221320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235086 (or 4235061 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2202221320000 its reverse (231222022), we get a palindrome (2202452542022).

The spelling of 2202221320000 in words is "two trillion, two hundred two billion, two hundred twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 130000 260000 520000 4235041 8470082 16940164 21175205 33880328 42350410 55055533 67760656 84700820 105876025 110111066 135521312 169401640 211752050 220222132 271042624 275277665 338803280 423504100 440444264 529380125 550555330 677606560 847008200 880888528 1058760250 1101110660 1355213120 1376388325 1694016400 1761777056 2117520500 2202221320 2646900625 2752776650 3388032800 3523554112 4235041000 4404442640 5293801250 5505553300 6776065600 6881941625 8470082000 8808885280 10587602500 11011106600 13763883250 16940164000 17617770560 21175205000 22022213200 27527766500 33880328000 34409708125 42350410000 44044426400 55055533000 68819416250 84700820000 88088852800 110111066000 137638832500 169401640000 220222132000 275277665000 440444264000 550555330000 1101110660000 2202221320000