Search a number
-
+
221334014220 = 2235111116130047
BaseRepresentation
bin1100111000100010001…
…0010000100100001100
3210011022010222220020020
43032020202100210030
512111243001423340
6245402432022140
721663602036124
oct3161042204414
9704263886206
10221334014220
118595a30a910
1236a90391950
1317b441b0c27
14a9d961dc84
155b5639d9d0
hex338889090c

221334014220 has 96 divisors (see below), whose sum is σ = 676157884416. Its totient is φ = 53650137600.

The previous prime is 221334014203. The next prime is 221334014227. The reversal of 221334014220 is 22410433122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221334014227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7351237 + ... + 7381283.

It is an arithmetic number, because the mean of its divisors is an integer number (7043311296).

Almost surely, 2221334014220 is an apocalyptic number.

221334014220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221334014220 is an abundant number, since it is smaller than the sum of its proper divisors (454823870196).

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

221334014220 is a wasteful number, since it uses less digits than its factorization.

221334014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41231 (or 41229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221334014220 its reverse (22410433122), we get a palindrome (243744447342).

The spelling of 221334014220 in words is "two hundred twenty-one billion, three hundred thirty-four million, fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 11161 22322 30047 33483 44644 55805 60094 66966 90141 111610 120188 122771 133932 150235 167415 180282 223220 245542 300470 330517 334830 360564 368313 450705 491084 600940 613855 661034 669660 736626 901410 991551 1227710 1322068 1473252 1652585 1802820 1841565 1983102 2455420 3305170 3683130 3966204 4957755 6610340 7366260 9915510 19831020 335354567 670709134 1006063701 1341418268 1676772835 2012127402 3353545670 3688900237 4024254804 5030318505 6707091340 7377800474 10060637010 11066700711 14755600948 18444501185 20121274020 22133401422 36889002370 44266802844 55333503555 73778004740 110667007110 221334014220