Search a number
-
+
221200320201 = 37241223164581
BaseRepresentation
bin1100111000000010010…
…0010000011011001001
3210010221211102112111220
43032000210100123021
512111004240221301
6245341254312253
721660356461500
oct3160044203311
9703854375456
10221200320201
11858a08a5593
1236a53658689
1317b225a0c43
14a9c597b837
155b49790936
hex33809106c9

221200320201 has 48 divisors (see below), whose sum is σ = 353032339968. Its totient is φ = 122763513600.

The previous prime is 221200320179. The next prime is 221200320251. The reversal of 221200320201 is 102023002122.

It is a happy number.

It is not a de Polignac number, because 221200320201 - 227 = 221066102473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221200320251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261731 + ... + 1426311.

It is an arithmetic number, because the mean of its divisors is an integer number (7354840416).

Almost surely, 2221200320201 is an apocalyptic number.

221200320201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221200320201 is a deficient number, since it is larger than the sum of its proper divisors (131832019767).

221200320201 is a wasteful number, since it uses less digits than its factorization.

221200320201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164862 (or 164855 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221200320201 its reverse (102023002122), we get a palindrome (323223322323).

The spelling of 221200320201 in words is "two hundred twenty-one billion, two hundred million, three hundred twenty thousand, two hundred one".

Divisors: 1 3 7 21 41 49 123 147 223 287 669 861 1561 2009 4683 6027 9143 10927 27429 32781 64001 164581 192003 448007 493743 1152067 1344021 3456201 6747821 8064469 20243463 24193407 36701563 47234747 110104689 141704241 256910941 330643229 770732823 991929687 1504764083 1798376587 4514292249 5395129761 10533348581 31600045743 73733440067 221200320201