Search a number
-
+
221349548484 = 223219241272
BaseRepresentation
bin1100111000100101110…
…1100001000111000100
3210011100020020010020100
43032021131201013010
512111310441022414
6245404145004100
721664151055411
oct3161135410704
9704306203210
10221349548484
118596805aa49
1236a95623630
1317b4748c7bc
14a9db705108
155b5791b609
hex33897611c4

221349548484 has 81 divisors (see below), whose sum is σ = 590664066447. Its totient is φ = 69882920208.

The previous prime is 221349548471. The next prime is 221349548489. The reversal of 221349548484 is 484845943122.

The square root of 221349548484 is 470478.

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

221349548484 is a `hidden beast` number, since 2 + 2 + 1 + 34 + 95 + 48 + 484 = 666.

It is a super-2 number, since 2×2213495484842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221349548484.

It is not an unprimeable number, because it can be changed into a prime (221349548489) 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 26 ways as a sum of consecutive naturals, for example, 53632429 + ... + 53636555.

Almost surely, 2221349548484 is an apocalyptic number.

221349548484 is the 470478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221349548484

221349548484 is an abundant number, since it is smaller than the sum of its proper divisors (369314517963).

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

221349548484 is an equidigital number, since it uses as much as digits as its factorization.

221349548484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 4151 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 221349548484 in words is "two hundred twenty-one billion, three hundred forty-nine million, five hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4127 4332 6498 8254 12381 12996 16508 24762 37143 49524 74286 78413 148572 156826 235239 313652 470478 705717 940956 1411434 1489847 2822868 2979694 4469541 5959388 8939082 13408623 17032129 17878164 26817246 34064258 51096387 53634492 68128516 102192774 153289161 204385548 306578322 323610451 613156644 647220902 970831353 1294441804 1941662706 2912494059 3883325412 5824988118 6148598569 11649976236 12297197138 18445795707 24594394276 36891591414 55337387121 73783182828 110674774242 221349548484