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232244201441 = 7733831186657
BaseRepresentation
bin1101100001001011010…
…1010100011111100001
3211012110111102211111102
43120102311110133201
512301114003421231
6254405211124145
722531141066130
oct3302265243741
9735414384442
10232244201441
118a548884a6a
1239016143655
1318b92620905
14b3525d1917
1560940ebacb
hex3612d547e1

232244201441 has 16 divisors (see below), whose sum is σ = 269760589824. Its totient is φ = 195826719744.

The previous prime is 232244201429. The next prime is 232244201503. The reversal of 232244201441 is 144102442232.

It is a happy number.

232244201441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 232244201441 - 214 = 232244185057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232244201341) 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 15 ways as a sum of consecutive naturals, for example, 397616 + ... + 789041.

It is an arithmetic number, because the mean of its divisors is an integer number (16860036864).

Almost surely, 2232244201441 is an apocalyptic number.

It is an amenable number.

232244201441 is a deficient number, since it is larger than the sum of its proper divisors (37516388383).

232244201441 is a wasteful number, since it uses less digits than its factorization.

232244201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187120.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 232244201441 its reverse (144102442232), we get a palindrome (376346643673).

The spelling of 232244201441 in words is "two hundred thirty-two billion, two hundred forty-four million, two hundred one thousand, four hundred forty-one".

Divisors: 1 7 73 383 511 2681 27959 195713 1186657 8306599 86625961 454489631 606381727 3181427417 33177743063 232244201441