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221244441020 = 225591013595171
BaseRepresentation
bin1100111000001100110…
…0100100000110111100
3210011001220110002220022
43032003030210012330
512111102034103040
6245345512111312
721661433501561
oct3160314440674
9704056402808
10221244441020
11859137a0179
1236a66395538
1317b2b77b335
14a9cb784868
155b4d5a86b5
hex33833241bc

221244441020 has 96 divisors (see below), whose sum is σ = 478587916800. Its totient is φ = 85879904000.

The previous prime is 221244441007. The next prime is 221244441023. The reversal of 221244441020 is 20144442122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221244441023) 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 31 ways as a sum of consecutive naturals, for example, 42783035 + ... + 42788205.

It is an arithmetic number, because the mean of its divisors is an integer number (4985290800).

Almost surely, 2221244441020 is an apocalyptic number.

221244441020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221244441020 is an abundant number, since it is smaller than the sum of its proper divisors (257343475780).

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

221244441020 is a wasteful number, since it uses less digits than its factorization.

221244441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 221244441020 its reverse (20144442122), we get a palindrome (241388883142).

The spelling of 221244441020 in words is "two hundred twenty-one billion, two hundred forty-four million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 59 101 118 202 236 295 359 404 505 590 718 1010 1180 1436 1795 2020 3590 5171 5959 7180 10342 11918 20684 21181 23836 25855 29795 36259 42362 51710 59590 72518 84724 103420 105905 119180 145036 181295 211810 305089 362590 423620 522271 610178 725180 1044542 1220356 1525445 1856389 2089084 2139281 2611355 3050890 3712778 4278562 5222710 6101780 7425556 8557124 9281945 10445420 10696405 18563890 21392810 30813989 37127780 42785620 61627978 109526951 123255956 154069945 187495289 219053902 308139890 374990578 438107804 547634755 616279780 749981156 937476445 1095269510 1874952890 2190539020 3749905780 11062222051 22124444102 44248888204 55311110255 110622220510 221244441020