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241314228 = 22341096833
BaseRepresentation
bin11100110001000…
…10100110110100
3121211002000220000
432120202212310
5443234023403
635540111300
75660065011
oct1630424664
9554060800
10241314228
11114240a51
1268995530
133acc10ac
1424098708
15162ba7a3
hexe6229b4

241314228 has 60 divisors (see below), whose sum is σ = 636723780. Its totient is φ = 79688448.

The previous prime is 241314221. The next prime is 241314239. The reversal of 241314228 is 822413142.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 147185424 = 9702^2 + 12132^2 .

It is a super-3 number, since 3×2413142283 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241314221) 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 19 ways as a sum of consecutive naturals, for example, 31900 + ... + 38732.

It is an arithmetic number, because the mean of its divisors is an integer number (10612063).

Almost surely, 2241314228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241314228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318361890).

241314228 is an abundant number, since it is smaller than the sum of its proper divisors (395409552).

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

241314228 is a wasteful number, since it uses less digits than its factorization.

241314228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6947 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 241314228 is about 15534.2920018905. The cubic root of 241314228 is about 622.5787735993.

It can be divided in two parts, 2413 and 14228, that added together give a square (16641 = 1292).

The spelling of 241314228 in words is "two hundred forty-one million, three hundred fourteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 6833 8829 11772 13666 17658 20499 27332 35316 40998 61497 81996 122994 184491 245988 368982 553473 737964 744797 1106946 1489594 2213892 2234391 2979188 4468782 6703173 8937564 13406346 20109519 26812692 40219038 60328557 80438076 120657114 241314228