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330222393 = 3312230459
BaseRepresentation
bin10011101011101…
…100101100111001
3212000101000222000
4103223230230321
51134014104033
652433451213
711116562334
oct2353545471
9760330860
10330222393
1115a446a76
1292710b09
1353550087
1431bdd61b
151decda13
hex13aecb39

330222393 has 8 divisors (see below), whose sum is σ = 489218400. Its totient is φ = 220148244.

The previous prime is 330222379. The next prime is 330222397. The reversal of 330222393 is 393222033.

It is a happy number.

It is not a de Polignac number, because 330222393 - 221 = 328125241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12230459 = 330222393 / (3 + 3 + 0 + 2 + 2 + 2 + 3 + 9 + 3).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (330222397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6115203 + ... + 6115256.

It is an arithmetic number, because the mean of its divisors is an integer number (61152300).

Almost surely, 2330222393 is an apocalyptic number.

It is an amenable number.

330222393 is a deficient number, since it is larger than the sum of its proper divisors (158996007).

330222393 is a wasteful number, since it uses less digits than its factorization.

330222393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230468 (or 12230462 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 330222393 is about 18172.0222595065. The cubic root of 330222393 is about 691.1975234708.

The spelling of 330222393 in words is "three hundred thirty million, two hundred twenty-two thousand, three hundred ninety-three".

Divisors: 1 3 9 27 12230459 36691377 110074131 330222393