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304223022 = 2321943137151
BaseRepresentation
bin10010001000100…
…001001100101110
3210012110010112100
4102020201030232
51110340114042
650104315530
710352565405
oct2210411456
9705403470
10304223022
111467a9294
1285a72ba6
134b04902c
142c59263c
151ba9524c
hex1222132e

304223022 has 96 divisors (see below), whose sum is σ = 719896320. Its totient is φ = 92534400.

The previous prime is 304222987. The next prime is 304223027. The reversal of 304223022 is 220322403.

It is a super-2 number, since 2×3042230222 = 185103294229624968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304222986 and 304223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304223027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014647 + ... + 2014797.

It is an arithmetic number, because the mean of its divisors is an integer number (7498920).

Almost surely, 2304223022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304223022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359948160).

304223022 is an abundant number, since it is smaller than the sum of its proper divisors (415673298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

304223022 is a wasteful number, since it uses less digits than its factorization.

304223022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 304223022 is about 17441.9901960757. The cubic root of 304223022 is about 672.5594697804.

Adding to 304223022 its reverse (220322403), we get a palindrome (524545425).

The spelling of 304223022 in words is "three hundred four million, two hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 137 151 171 258 274 302 342 387 411 453 774 817 822 906 1233 1359 1634 2451 2466 2603 2718 2869 4902 5206 5738 5891 6493 7353 7809 8607 11782 12986 14706 15618 17214 17673 19479 20687 23427 25821 35346 38958 41374 46854 51642 53019 58437 62061 106038 111929 116874 123367 124122 186183 223858 246734 335787 370101 372366 393053 671574 740202 786106 889541 1007361 1110303 1179159 1779082 2014722 2220606 2358318 2668623 3537477 5337246 7074954 8005869 16011738 16901279 33802558 50703837 101407674 152111511 304223022