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2240943132484 = 227223246492
BaseRepresentation
bin100000100111000010100…
…111101000111101000100
321221020021011212011111201
4200213002213220331010
5243203422420214414
64433250340312244
7320621442224200
oct40470247507504
97836234764451
102240943132484
11794418a82461
123023873a2684
13133421151a54
147a6684c5b00
153d45ab35574
hex209c29e8f44

2240943132484 has 81 divisors (see below), whose sum is σ = 4769913969597. Its totient is φ = 918449894208.

The previous prime is 2240943132479. The next prime is 2240943132487. The reversal of 2240943132484 is 4842313490422.

The square root of 2240943132484 is 1496978.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2192999650884 + 47943481600 = 1480878^2 + 218960^2 .

It is a super-2 number, since 2×22409431324842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2240943132487) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 482024592 + ... + 482029240.

Almost surely, 22240943132484 is an apocalyptic number.

2240943132484 is the 1496978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240943132484

2240943132484 is an abundant number, since it is smaller than the sum of its proper divisors (2528970837113).

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

2240943132484 is an frugal number, since it uses more digits than its factorization.

2240943132484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9362 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 2240943132484 in words is "two trillion, two hundred forty billion, nine hundred forty-three million, one hundred thirty-two thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1058 1127 2116 2254 3703 4508 4649 7406 9298 14812 18596 25921 32543 51842 65086 103684 106927 130172 213854 227801 427708 455602 748489 911204 1496978 2459321 2993956 4918642 5239423 9837284 10478846 17215247 20957692 21613201 34430494 43226402 68860988 86452804 120506729 151292407 241013458 302584814 482026916 497103623 605169628 994207246 1059046849 1988414492 2118093698 3479725361 4236187396 6959450722 11433383329 13918901444 22866766658 24358077527 45733533316 48716155054 80033683303 97432310108 160067366606 320134733212 560235783121 1120471566242 2240943132484