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221455144140 = 2235193118116193
BaseRepresentation
bin1100111000111111000…
…0010101010011001100
3210011121120220221020120
43032033300111103030
512112020004103030
6245422440144540
721666602444436
oct3161760252314
9704546827216
10221455144140
1185a1172358a
1236b04a68150
1317b63312239
14aa0b751656
155b61d29010
hex338fc154cc

221455144140 has 96 divisors (see below), whose sum is σ = 623853510336. Its totient is φ = 58695352320.

The previous prime is 221455144123. The next prime is 221455144147. The reversal of 221455144140 is 41441554122.

221455144140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221455144147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13667884 + ... + 13684076.

It is an arithmetic number, because the mean of its divisors is an integer number (6498474066).

Almost surely, 2221455144140 is an apocalyptic number.

221455144140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221455144140 is an abundant number, since it is smaller than the sum of its proper divisors (402398366196).

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

221455144140 is a wasteful number, since it uses less digits than its factorization.

221455144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17579 (or 17577 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 221455144140 its reverse (41441554122), we get a palindrome (262896698262).

The spelling of 221455144140 in words is "two hundred twenty-one billion, four hundred fifty-five million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 193 386 579 772 965 1158 1181 1930 2316 2362 2895 3543 3860 4724 5790 5905 7086 11580 11810 14172 16193 17715 23620 32386 35430 48579 64772 70860 80965 97158 161930 194316 227933 242895 323860 455866 485790 683799 911732 971580 1139665 1367598 2279330 2735196 3125249 3418995 4558660 6250498 6837990 9375747 12500996 13675980 15626245 18751494 19123933 31252490 37502988 38247866 46878735 57371799 62504980 76495732 93757470 95619665 114743598 187514940 191239330 229487196 286858995 382478660 573717990 1147435980 3690919069 7381838138 11072757207 14763676276 18454595345 22145514414 36909190690 44291028828 55363786035 73818381380 110727572070 221455144140