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220311320 = 23537148859
BaseRepresentation
bin11010010000110…
…10111100011000
3120100112222022112
431020122330120
5422344430240
633510011452
75313421025
oct1510327430
9510488275
10220311320
111033a6179
1261946b88
1336849338
142138c54c
151451c665
hexd21af18

220311320 has 32 divisors (see below), whose sum is σ = 509101200. Its totient is φ = 85742208.

The previous prime is 220311293. The next prime is 220311323. The reversal of 220311320 is 23113022.

It is a happy number.

It is a super-4 number, since 4×2203113204 (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220311295 and 220311304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220311323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72950 + ... + 75909.

Almost surely, 2220311320 is an apocalyptic number.

220311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220311320 is an abundant number, since it is smaller than the sum of its proper divisors (288789880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220311320 is a wasteful number, since it uses less digits than its factorization.

220311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148907 (or 148903 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 220311320 is about 14842.8878591735. The cubic root of 220311320 is about 603.9656940005.

Adding to 220311320 its reverse (23113022), we get a palindrome (243424342).

The spelling of 220311320 in words is "two hundred twenty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 148859 297718 595436 744295 1190872 1488590 2977180 5507783 5954360 11015566 22031132 27538915 44062264 55077830 110155660 220311320