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2221320443440 = 245753211354703
BaseRepresentation
bin100000010100110001000…
…001000001011000110000
321212100121122022021120211
4200110301001001120300
5242343231013142230
64420243250113504
7316325251143220
oct40246101013060
97770548267524
102221320443440
1178706953177a
122ba60b87b894
131316149a3347
147972637a080
153cbad09a42a
hex20531041630

2221320443440 has 160 divisors (see below), whose sum is σ = 6042249271296. Its totient is φ = 743682401280.

The previous prime is 2221320443437. The next prime is 2221320443449. The reversal of 2221320443440 is 443440231222.

It is not an unprimeable number, because it can be changed into a prime (2221320443449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6085129 + ... + 6439831.

Almost surely, 22221320443440 is an apocalyptic number.

2221320443440 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 2221320443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021124635648).

2221320443440 is an abundant number, since it is smaller than the sum of its proper divisors (3820928827856).

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

2221320443440 is a wasteful number, since it uses less digits than its factorization.

2221320443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354987 (or 354981 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 2221320443440 its reverse (443440231222), we get a palindrome (2664760674662).

The spelling of 2221320443440 in words is "two trillion, two hundred twenty-one billion, three hundred twenty million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 211 212 265 280 371 422 424 530 560 742 844 848 1055 1060 1477 1484 1688 1855 2110 2120 2954 2968 3376 3710 4220 4240 5908 5936 7385 7420 8440 11183 11816 14770 14840 16880 22366 23632 29540 29680 44732 55915 59080 78281 89464 111830 118160 156562 178928 223660 313124 354703 391405 447320 626248 709406 782810 894640 1252496 1418812 1565620 1773515 2482921 2837624 3131240 3547030 4965842 5675248 6262480 7094060 9931684 12414605 14188120 18799259 19863368 24829210 28376240 37598518 39726736 49658420 74842333 75197036 93996295 99316840 131594813 149684666 150394072 187992590 198633680 263189626 299369332 300788144 374211665 375985180 523896331 526379252 598738664 657974065 748423330 751970360 1047792662 1052758504 1197477328 1315948130 1496846660 1503940720 2095585324 2105517008 2619481655 2631896260 2993693320 3966643649 4191170648 5238963310 5263792520 5987386640 7933287298 8382341296 10477926620 10527585040 15866574596 19833218245 20955853240 27766505543 31733149192 39666436490 41911706480 55533011086 63466298384 79332872980 111066022172 138832527715 158665745960 222132044344 277665055430 317331491920 444264088688 555330110860 1110660221720 2221320443440