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221432053441 = 37241208111933
BaseRepresentation
bin1100111000111001100…
…0001111111011000001
3210011112222110210202111
43032032120033323001
512111443101202231
6245420253215321
721666202253554
oct3161630177301
9704488423674
10221432053441
11859aa692165
1236ab9191541
1317b5b5b90c1
14aa0866069b
155b5ecb74b1
hex338e60fec1

221432053441 has 16 divisors (see below), whose sum is σ = 228489223248. Its totient is φ = 214432358400.

The previous prime is 221432053439. The next prime is 221432053459. The reversal of 221432053441 is 144350234122.

It can be written as a sum of positive squares in 8 ways, for example, as 48754406416 + 172677647025 = 220804^2 + 415545^2 .

It is a cyclic number.

It is not a de Polignac number, because 221432053441 - 21 = 221432053439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221432053481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18550311 + ... + 18562243.

It is an arithmetic number, because the mean of its divisors is an integer number (14280576453).

Almost surely, 2221432053441 is an apocalyptic number.

It is an amenable number.

221432053441 is a deficient number, since it is larger than the sum of its proper divisors (7057169807).

221432053441 is a wasteful number, since it uses less digits than its factorization.

221432053441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14292.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 221432053441 its reverse (144350234122), we get a palindrome (365782287563).

The spelling of 221432053441 in words is "two hundred twenty-one billion, four hundred thirty-two million, fifty-three thousand, four hundred forty-one".

Divisors: 1 37 241 2081 8917 11933 76997 441521 501521 2875853 18556277 24832573 106406561 918805201 5984650093 221432053441