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4222141335 = 335171996827
BaseRepresentation
bin1111101110101000…
…1100001110010111
3101220020201000002000
43323222030032113
532121332010320
61534543050343
7206425415646
oct37352141627
911806630060
104222141335
11187731a305
12999ba09b3
1352395b9a9
142c0a5b35d
1519aa04c90
hexfba8c397

4222141335 has 64 divisors (see below), whose sum is σ = 8365939200. Its totient is φ = 2007783936.

The previous prime is 4222141307. The next prime is 4222141361. The reversal of 4222141335 is 5331412224.

It is not a de Polignac number, because 4222141335 - 29 = 4222140823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4222141299 and 4222141308.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4809 + ... + 92018.

It is an arithmetic number, because the mean of its divisors is an integer number (130717800).

Almost surely, 24222141335 is an apocalyptic number.

4222141335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4222141335 is a deficient number, since it is larger than the sum of its proper divisors (4143797865).

4222141335 is a wasteful number, since it uses less digits than its factorization.

4222141335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96877 (or 96871 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4222141335 is about 64978.0065483699. The cubic root of 4222141335 is about 1616.2588739883.

Adding to 4222141335 its reverse (5331412224), we get a palindrome (9553553559).

The spelling of 4222141335 in words is "four billion, two hundred twenty-two million, one hundred forty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 17 19 27 45 51 57 85 95 135 153 171 255 285 323 459 513 765 855 969 1615 2295 2565 2907 4845 8721 14535 43605 96827 290481 484135 871443 1452405 1646059 1839713 2614329 4357215 4938177 5519139 8230295 9198565 13071645 14814531 16557417 24690885 27595695 31275121 44443593 49672251 74072655 82787085 93825363 156375605 222217965 248361255 281476089 469126815 844428267 1407380445 4222141335