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330022301 = 727738713
BaseRepresentation
bin10011101010111…
…011110110011101
3211222222212111012
4103222323312131
51133441203201
652425305005
711115100100
oct2352736635
9758885435
10330022301
1115a31a704
1292635165
13534acc8b
1431b8a737
151de8e5bb
hex13abbd9d

330022301 has 12 divisors (see below), whose sum is σ = 384444252. Its totient is φ = 282477888.

The previous prime is 330022289. The next prime is 330022313. The reversal of 330022301 is 103220033.

It is an interprime number because it is at equal distance from previous prime (330022289) and next prime (330022313).

It can be written as a sum of positive squares in 2 ways, for example, as 178756900 + 151265401 = 13370^2 + 12299^2 .

It is not a de Polignac number, because 330022301 - 218 = 329760157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330022501) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 33521 + ... + 42233.

It is an arithmetic number, because the mean of its divisors is an integer number (32037021).

Almost surely, 2330022301 is an apocalyptic number.

It is an amenable number.

330022301 is a deficient number, since it is larger than the sum of its proper divisors (54421951).

330022301 is an equidigital number, since it uses as much as digits as its factorization.

330022301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 330022301 is about 18166.5159290382. The cubic root of 330022301 is about 691.0578892513.

Adding to 330022301 its reverse (103220033), we get a palindrome (433242334).

The spelling of 330022301 in words is "three hundred thirty million, twenty-two thousand, three hundred one".

Divisors: 1 7 49 773 5411 8713 37877 60991 426937 6735149 47146043 330022301