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302223042 = 23311171732
BaseRepresentation
bin10010000000111…
…000111011000010
3210001200112002000
4102000320323002
51104332114132
645553404430
710326565512
oct2200707302
9701615060
10302223042
11145662710
1285269716
134a7c8904
142c1d1842
151b7ec87c
hex12038ec2

302223042 has 96 divisors (see below), whose sum is σ = 780269760. Its totient is φ = 85697280.

The previous prime is 302223041. The next prime is 302223071. The reversal of 302223042 is 240322203.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302223041) 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, 1746868 + ... + 1747040.

It is an arithmetic number, because the mean of its divisors is an integer number (8127810).

Almost surely, 2302223042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302223042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390134880).

302223042 is an abundant number, since it is smaller than the sum of its proper divisors (478046718).

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

302223042 is a wasteful number, since it uses less digits than its factorization.

302223042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 206 counting only the distinct ones).

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

The square root of 302223042 is about 17384.5633249731. The cubic root of 302223042 is about 671.0824131427.

Adding to 302223042 its reverse (240322203), we get a palindrome (542545245).

The spelling of 302223042 in words is "three hundred two million, two hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 173 187 198 297 306 346 374 459 519 561 594 918 1038 1122 1557 1683 1903 2941 3114 3366 3806 4671 5049 5709 5882 8823 9342 10098 11418 17127 17646 26469 29929 32351 34254 51381 52938 59858 64702 79407 89787 97053 102762 158814 179574 194106 269361 291159 329219 508793 538722 582318 658438 808083 873477 987657 1017586 1526379 1616166 1746954 1975314 2962971 3052758 4579137 5596723 5925942 8888913 9158274 11193446 13737411 16790169 17777826 27474822 33580338 50370507 100741014 151111521 302223042