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221132450450 = 2527329112
BaseRepresentation
bin1100110111110010000…
…1010110101010010010
3210010210002201101201102
43031330201112222102
512110334401403300
6245330431504402
721655603546502
oct3157441265222
9703702641642
10221132450450
1185866559a8a
1236a34988102
1317b114c9c22
14a9ba951a02
155b438360d5
hex337c856a92

221132450450 has 54 divisors (see below), whose sum is σ = 417476135007. Its totient is φ = 87145531200.

The previous prime is 221132450449. The next prime is 221132450459. The reversal of 221132450450 is 54054231122.

221132450450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 94253298049 + 126879152401 = 307007^2 + 356201^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332515.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221132450459) 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 26 ways as a sum of consecutive naturals, for example, 242735495 + ... + 242736405.

Almost surely, 2221132450450 is an apocalyptic number.

221132450450 is a deficient number, since it is larger than the sum of its proper divisors (196343684557).

221132450450 is an frugal number, since it uses more digits than its factorization.

221132450450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 221132450450 its reverse (54054231122), we get a palindrome (275186681572).

The spelling of 221132450450 in words is "two hundred twenty-one billion, one hundred thirty-two million, four hundred fifty thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 73 146 365 730 911 1822 1825 3650 4555 5329 9110 10658 22775 26645 45550 53290 66503 133006 133225 266450 332515 665030 829921 1659842 1662575 3325150 4149605 4854719 8299210 9709438 20748025 24273595 41496050 48547190 60584233 121168466 121367975 242735950 302921165 605842330 1514605825 3029211650 4422649009 8845298018 22113245045 44226490090 110566225225 221132450450