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221244410442 = 23112964931583
BaseRepresentation
bin1100111000001100110…
…0011100101001001010
3210011001220101112221210
43032003030130221022
512111102032113232
6245345511313550
721661433313456
oct3160314345112
9704056345853
10221244410442
118591377a200
1236a6637b8b6
1317b2b76a443
14a9cb777666
155b4d59e5cc
hex338331ca4a

221244410442 has 48 divisors (see below), whose sum is σ = 486437817600. Its totient is φ = 67034689920.

The previous prime is 221244410441. The next prime is 221244410449. The reversal of 221244410442 is 244014442122.

It is not an unprimeable number, because it can be changed into a prime (221244410441) 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 23 ways as a sum of consecutive naturals, for example, 6989383 + ... + 7020965.

It is an arithmetic number, because the mean of its divisors is an integer number (10134121200).

Almost surely, 2221244410442 is an apocalyptic number.

221244410442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221244410442 is an abundant number, since it is smaller than the sum of its proper divisors (265193407158).

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

221244410442 is a wasteful number, since it uses less digits than its factorization.

221244410442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41259 (or 41248 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 221244410442 its reverse (244014442122), we get a palindrome (465258852564).

It can be divided in two parts, 2212444 and 10442, that added together give a triangular number (2222886 = T2108).

The spelling of 221244410442 in words is "two hundred twenty-one billion, two hundred forty-four million, four hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 9649 19298 28947 31583 57894 63166 94749 106139 189498 212278 318417 347413 636834 694826 1042239 1167529 2084478 2335058 3502587 3821543 7005174 7643086 11464629 22929258 304744367 609488734 914233101 1828466202 3352188037 6704376074 10056564111 20113128222 36874068407 73748136814 110622205221 221244410442