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2203334540240 = 245831033321227
BaseRepresentation
bin100000000100000000111…
…110001111101111010000
321210122012011122201201212
4200010000332033233100
5242044412120241430
64404110425515252
7315120453402521
oct40040076175720
97718164581655
102203334540240
1177a4799a8469
122b7030342b28
1312ca0966a282
14788db77c848
153c4a9078b95
hex20100f8fbd0

2203334540240 has 80 divisors (see below), whose sum is σ = 5189507725248. Its totient is φ = 869869728768.

The previous prime is 2203334540233. The next prime is 2203334540249. The reversal of 2203334540240 is 420454333022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22033345402402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2203334540197 and 2203334540206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203334540249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6698507 + ... + 7019733.

Almost surely, 22203334540240 is an apocalyptic number.

2203334540240 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 2203334540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594753862624).

2203334540240 is an abundant number, since it is smaller than the sum of its proper divisors (2986173185008).

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

2203334540240 is a wasteful number, since it uses less digits than its factorization.

2203334540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322356 (or 322350 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 2203334540240 its reverse (420454333022), we get a palindrome (2623788873262).

The spelling of 2203334540240 in words is "two trillion, two hundred three billion, three hundred thirty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1033 1328 1660 2066 3320 4132 5165 6640 8264 10330 16528 20660 41320 82640 85739 171478 321227 342956 428695 642454 685912 857390 1284908 1371824 1606135 1714780 2569816 3212270 3429560 5139632 6424540 6859120 12849080 25698160 26661841 53323682 106647364 133309205 213294728 266618410 331827491 426589456 533236820 663654982 1066473640 1327309964 1659137455 2132947280 2654619928 3318274910 5309239856 6636549820 13273099640 26546199280 27541681753 55083363506 110166727012 137708408765 220333454024 275416817530 440666908048 550833635060 1101667270120 2203334540240