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2221124433320 = 2351333126894799
BaseRepresentation
bin100000010100100101010…
…101010011010110101000
321212100002222110221020202
4200110211111103112220
5242342330323331240
64420212005011332
7316320351114152
oct40244525232650
97770088427222
102221124433320
11786a78924441
122ba5760b3b48
131315b31b5120
1479708315ad2
153cb9ac7d315
hex205255535a8

2221124433320 has 128 divisors (see below), whose sum is σ = 5401347840000. Its totient is φ = 817155440640.

The previous prime is 2221124433317. The next prime is 2221124433337. The reversal of 2221124433320 is 233344211222.

It is a super-2 number, since 2×22211244333202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462828281 + ... + 462833079.

It is an arithmetic number, because the mean of its divisors is an integer number (42198030000).

Almost surely, 22221124433320 is an apocalyptic number.

2221124433320 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 2221124433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700673920000).

2221124433320 is an abundant number, since it is smaller than the sum of its proper divisors (3180223406680).

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

2221124433320 is a wasteful number, since it uses less digits than its factorization.

2221124433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 2221124433320 its reverse (233344211222), we get a palindrome (2454468644542).

The spelling of 2221124433320 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-four million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 331 520 662 1324 1655 2648 2689 3310 4303 4799 5378 6620 8606 9598 10756 13240 13445 17212 19196 21512 21515 23995 26890 34424 34957 38392 43030 47990 53780 62387 69914 86060 95980 107560 124774 139828 172120 174785 191960 249548 279656 311935 349570 499096 623870 699140 890059 1247740 1398280 1588469 1780118 2495480 3176938 3560236 4450295 6353876 7120472 7942345 8900590 11570767 12707752 12904511 15884690 17801180 20650097 23141534 25809022 31769380 35602360 41300194 46283068 51618044 57853835 63538760 64522555 82600388 92566136 103236088 103250485 115707670 129045110 165200776 167758643 206500970 231415340 258090220 335517286 413001940 462830680 516180440 671034572 826003880 838793215 1342069144 1677586430 3355172860 4271393141 6710345720 8542786282 17085572564 21356965705 34171145128 42713931410 55528110833 85427862820 111056221666 170855725640 222112443332 277640554165 444224886664 555281108330 1110562216660 2221124433320