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2022312141 = 32269835321
BaseRepresentation
bin111100010001010…
…0000100011001101
312012221100002201200
41320202200203031
513120202442031
6532401100113
7101054240523
oct17042404315
95187302650
102022312141
119485a7053
12485327639
13262c8a005
14152826313
15bc81d8e6
hex788a08cd

2022312141 has 12 divisors (see below), whose sum is σ = 2931980220. Its totient is φ = 1343194560.

The previous prime is 2022312137. The next prime is 2022312151. The reversal of 2022312141 is 1412132202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 686702025 + 1335610116 = 26205^2 + 36546^2 .

It is not a de Polignac number, because 2022312141 - 22 = 2022312137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022312151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415240 + ... + 420081.

It is an arithmetic number, because the mean of its divisors is an integer number (244331685).

Almost surely, 22022312141 is an apocalyptic number.

It is an amenable number.

2022312141 is a deficient number, since it is larger than the sum of its proper divisors (909668079).

2022312141 is a wasteful number, since it uses less digits than its factorization.

2022312141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835596 (or 835593 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2022312141 is about 44970.1249831485. The cubic root of 2022312141 is about 1264.5889900865.

Adding to 2022312141 its reverse (1412132202), we get a palindrome (3434444343).

The spelling of 2022312141 in words is "two billion, twenty-two million, three hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 9 269 807 2421 835321 2505963 7517889 224701349 674104047 2022312141