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220429593 = 348930577
BaseRepresentation
bin11010010001101…
…11110100011001
3120100202222120000
431020313310121
5422412221333
633512323213
75314422606
oct1510676431
9510688500
10220429593
1110347701a
12619a3509
133688b117
14213bd6ad
1514542713
hexd237d19

220429593 has 20 divisors (see below), whose sum is σ = 332994420. Its totient is φ = 145297152.

The previous prime is 220429591. The next prime is 220429603. The reversal of 220429593 is 395924022.

220429593 is a `hidden beast` number, since 2 + 20 + 42 + 9 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58936329 + 161493264 = 7677^2 + 12708^2 .

It is not a de Polignac number, because 220429593 - 21 = 220429591 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220429591) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8080 + ... + 22497.

It is an arithmetic number, because the mean of its divisors is an integer number (16649721).

Almost surely, 2220429593 is an apocalyptic number.

It is an amenable number.

220429593 is a deficient number, since it is larger than the sum of its proper divisors (112564827).

220429593 is an equidigital number, since it uses as much as digits as its factorization.

220429593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30678 (or 30669 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 220429593 is about 14846.8714886336. The cubic root of 220429593 is about 604.0737532922.

The spelling of 220429593 in words is "two hundred twenty million, four hundred twenty-nine thousand, five hundred ninety-three".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 30577 91731 275193 825579 2476737 2721353 8164059 24492177 73476531 220429593