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993221369 = 7312147647
BaseRepresentation
bin111011001100110…
…101101011111001
32120012220212120122
4323030311223321
54013231040434
6242320103025
733420146060
oct7314655371
92505825518
10993221369
1146a713a08
12238764a75
1312aa0596a
1495ca51d7
155c2e2c2e
hex3b335af9

993221369 has 12 divisors (see below), whose sum is σ = 1172915712. Its totient is φ = 823864680.

The previous prime is 993221363. The next prime is 993221387. The reversal of 993221369 is 963122399.

It is not a de Polignac number, because 993221369 - 212 = 993217273 is a prime.

It is a super-2 number, since 2×9932213692 = 1972977375676468322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993221363) 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, 67097 + ... + 80550.

It is an arithmetic number, because the mean of its divisors is an integer number (97742976).

Almost surely, 2993221369 is an apocalyptic number.

It is an amenable number.

993221369 is a deficient number, since it is larger than the sum of its proper divisors (179694343).

993221369 is a wasteful number, since it uses less digits than its factorization.

993221369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147716 (or 147685 counting only the distinct ones).

The product of its digits is 157464, while the sum is 44.

The square root of 993221369 is about 31515.4147838800. The cubic root of 993221369 is about 997.7353314815.

The spelling of 993221369 in words is "nine hundred ninety-three million, two hundred twenty-one thousand, three hundred sixty-nine".

Divisors: 1 7 31 217 961 6727 147647 1033529 4577057 32039399 141888767 993221369