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220387327 = 1929617983
BaseRepresentation
bin11010010001011…
…01011111111111
3120100200211120121
431020231133333
5422404343302
633511355411
75314155436
oct1510553777
9510624517
10220387327
11103448296
1261982b67
1336874b04
14213ac11d
1514534e37
hexd22d7ff

220387327 has 32 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 193415040.

The previous prime is 220387319. The next prime is 220387331. The reversal of 220387327 is 723783022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 220387327 - 23 = 220387319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220387292 and 220387301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220387367) 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 31 ways as a sum of consecutive naturals, for example, 2655228 + ... + 2655310.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2220387327 is an apocalyptic number.

220387327 is a deficient number, since it is larger than the sum of its proper divisors (29596673).

220387327 is a wasteful number, since it uses less digits than its factorization.

220387327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 220387327 is about 14845.4480228789. The cubic root of 220387327 is about 604.0351416991.

The spelling of 220387327 in words is "two hundred twenty million, three hundred eighty-seven thousand, three hundred twenty-seven".

Divisors: 1 19 29 61 79 83 551 1159 1501 1577 1769 2291 2407 4819 5063 6557 33611 43529 45733 91561 96197 124583 139751 146827 190153 399977 2655269 2789713 3612907 7599563 11599333 220387327