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221350489441 = 107243972
BaseRepresentation
bin1100111000100110000…
…1000110110101100001
3210011100021222220222121
43032021201012311201
512111311211130231
6245404221104241
721664162054624
oct3161141066541
9704307886877
10221350489441
11859686429a4
1236a959b8081
1317b4772bb93
14a9db8abdbb
155b57a55311
hex3389846d61

221350489441 has 9 divisors (see below), whose sum is σ = 223489346899. Its totient is φ = 219231922504.

The previous prime is 221350489369. The next prime is 221350489447. The reversal of 221350489441 is 144984053122.

The square root of 221350489441 is 470479.

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

It can be written as a sum of positive squares in only one way, i.e., 106155414225 + 115195075216 = 325815^2 + 339404^2 .

It is not a de Polignac number, because 221350489441 - 225 = 221316935009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221350489447) 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 8 ways as a sum of consecutive naturals, for example, 50339055 + ... + 50343451.

Almost surely, 2221350489441 is an apocalyptic number.

221350489441 is the 470479-th square number.

221350489441 is the 235240-th centered octagonal number.

It is an amenable number.

221350489441 is a deficient number, since it is larger than the sum of its proper divisors (2138857458).

221350489441 is an frugal number, since it uses more digits than its factorization.

221350489441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 221350489441 in words is "two hundred twenty-one billion, three hundred fifty million, four hundred eighty-nine thousand, four hundred forty-one".

Divisors: 1 107 4397 11449 470479 19333609 50341253 2068696163 221350489441