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221144123002224 = 2436789819765581
BaseRepresentation
bin110010010010000100100000…
…111001010100110101110000
31002000000011122011101002020110
4302102010200321110311300
5212441211130442032344
62102200112502141320
764403064344365422
oct6222044071246560
91060004564332213
10221144123002224
1164510772245a74
1220977267421840
139651a5565a406
143c8760b328812
151a876ed32d3b9
hexc92120e54d70

221144123002224 has 80 divisors (see below), whose sum is σ = 579822898423680. Its totient is φ = 72613584848640.

The previous prime is 221144123002219. The next prime is 221144123002261. The reversal of 221144123002224 is 422200321441122.

It is a junction number, because it is equal to n+sod(n) for n = 221144123002191 and 221144123002200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288475114 + ... + 289240694.

It is an arithmetic number, because the mean of its divisors is an integer number (7247786230296).

Almost surely, 2221144123002224 is an apocalyptic number.

221144123002224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221144123002224 is an abundant number, since it is smaller than the sum of its proper divisors (358678775421456).

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

221144123002224 is a wasteful number, since it uses less digits than its factorization.

221144123002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855478 (or 855472 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 221144123002224 its reverse (422200321441122), we get a palindrome (643344444443346).

The spelling of 221144123002224 in words is "two hundred twenty-one trillion, one hundred forty-four billion, one hundred twenty-three million, two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 89819 179638 269457 359276 538914 718552 765581 1077828 1437104 1531162 2155656 2296743 3062324 4311312 4593486 6017873 6124648 9186972 12035746 12249296 18053619 18373944 24071492 36107238 36747888 48142984 51293927 72214476 96285968 102587854 144428952 153881781 205175708 288857904 307763562 410351416 615527124 820702832 1231054248 2462108496 68763719839 137527439678 206291159517 275054879356 412582319034 550109758712 825164638068 1100219517424 1650329276136 3300658552272 4607169229213 9214338458426 13821507687639 18428676916852 27643015375278 36857353833704 55286030750556 73714707667408 110572061501112 221144123002224