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4222004220331 = 412813675991667
BaseRepresentation
bin111101011100000011000…
…011111101000110101011
3112221121201201210121002221
4331130003003331012223
51023133131040022311
612551321214534511
7614013125514022
oct75340303750653
915847651717087
104222004220331
1113885a6351227
12582304807437
13248196ab6811
141084bb97d8b9
1574c560e3671
hex3d7030fd1ab

4222004220331 has 32 divisors (see below), whose sum is σ = 4362078873600. Its totient is φ = 4083901785600.

The previous prime is 4222004220307. The next prime is 4222004220353. The reversal of 4222004220331 is 1330224002224.

It is a cyclic number.

It is not a de Polignac number, because 4222004220331 - 29 = 4222004219819 is a prime.

It is a super-2 number, since 2×42220042203312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4222004220296 and 4222004220305.

It is not an unprimeable number, because it can be changed into a prime (4222004620331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532695160 + ... + 2532696826.

It is an arithmetic number, because the mean of its divisors is an integer number (136314964800).

Almost surely, 24222004220331 is an apocalyptic number.

4222004220331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4222004220331 is a deficient number, since it is larger than the sum of its proper divisors (140074653269).

4222004220331 is a wasteful number, since it uses less digits than its factorization.

4222004220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4222004220331 its reverse (1330224002224), we get a palindrome (5552228222555).

The spelling of 4222004220331 in words is "four trillion, two hundred twenty-two billion, four million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 41 281 367 599 1667 11521 15047 24559 68347 103127 168319 219833 468427 611789 998533 4228207 6901079 9013153 19205507 25083349 40939853 61773073 171912709 280587773 366461611 2532695993 7048421069 11504098693 15024926051 102975712691 4222004220331