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241304220 = 223253134283
BaseRepresentation
bin11100110001000…
…00001010011100
3121211001112011100
432120200022130
5443233213340
635535553100
75660023563
oct1630401234
9554045140
10241304220
11114234483
126898b790
133acb9681
1424094bda
15162b7830
hexe62029c

241304220 has 72 divisors (see below), whose sum is σ = 734466096. Its totient is φ = 64127232.

The previous prime is 241304179. The next prime is 241304249. The reversal of 241304220 is 22403142.

241304220 is a `hidden beast` number, since 241 + 3 + 0 + 422 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241304193 and 241304202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54199 + ... + 58481.

It is an arithmetic number, because the mean of its divisors is an integer number (10200918).

Almost surely, 2241304220 is an apocalyptic number.

241304220 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 241304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367233048).

241304220 is an abundant number, since it is smaller than the sum of its proper divisors (493161876).

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

241304220 is a wasteful number, since it uses less digits than its factorization.

241304220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241304220 is about 15533.9698725084. The cubic root of 241304220 is about 622.5701667653.

Adding to 241304220 its reverse (22403142), we get a palindrome (263707362).

The spelling of 241304220 in words is "two hundred forty-one million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2817 3130 3756 4283 4695 5634 6260 8566 9390 11268 12849 14085 17132 18780 21415 25698 28170 38547 42830 51396 56340 64245 77094 85660 128490 154188 192735 256980 385470 770940 1340579 2681158 4021737 5362316 6702895 8043474 12065211 13405790 16086948 20108685 24130422 26811580 40217370 48260844 60326055 80434740 120652110 241304220