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243322420 = 225114792309
BaseRepresentation
bin11101000000011…
…00111000110100
3121221212001121111
432200030320310
5444242304140
640051124404
76013130545
oct1640147064
9557761544
10243322420
11115392810
12695a3704
133b545183
142445c4cc
15165657ea
hexe80ce34

243322420 has 48 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 88257920.

The previous prime is 243322399. The next prime is 243322427. The reversal of 243322420 is 24223342.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 243322391 and 243322400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243322427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104226 + ... + 106534.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2243322420 is an apocalyptic number.

243322420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

243322420 is an abundant number, since it is smaller than the sum of its proper divisors (315512780).

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

243322420 is a wasteful number, since it uses less digits than its factorization.

243322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 243322420 is about 15598.7954663173. The cubic root of 243322420 is about 624.3010169678.

Adding to 243322420 its reverse (24223342), we get a palindrome (267545762).

The spelling of 243322420 in words is "two hundred forty-three million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 479 958 1916 2309 2395 4618 4790 5269 9236 9580 10538 11545 21076 23090 25399 26345 46180 50798 52690 101596 105380 126995 253990 507980 1106011 2212022 4424044 5530055 11060110 12166121 22120220 24332242 48664484 60830605 121661210 243322420