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541225350 = 232521378779
BaseRepresentation
bin100000010000100…
…111000110000110
31101201102002121100
4200100213012012
52102023202400
6125412200530
716261224321
oct4020470606
91351362540
10541225350
11258564686
12131309146
138818a5b3
1451c477b8
15327ad100
hex20427186

541225350 has 72 divisors (see below), whose sum is σ = 1464872760. Its totient is φ = 143256960.

The previous prime is 541225313. The next prime is 541225357. The reversal of 541225350 is 53522145.

It is a happy number.

541225350 is a `hidden beast` number, since 5 + 4 + 122 + 535 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541225357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57261 + ... + 66039.

It is an arithmetic number, because the mean of its divisors is an integer number (20345455).

Almost surely, 2541225350 is an apocalyptic number.

541225350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 541225350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732436380).

541225350 is an abundant number, since it is smaller than the sum of its proper divisors (923647410).

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

541225350 is a wasteful number, since it uses less digits than its factorization.

541225350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 541225350 is about 23264.2504714852. The cubic root of 541225350 is about 814.9407662673.

Adding to 541225350 its reverse (53522145), we get a palindrome (594747495).

The spelling of 541225350 in words is "five hundred forty-one million, two hundred twenty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 137 150 225 274 411 450 685 822 1233 1370 2055 2466 3425 4110 6165 6850 8779 10275 12330 17558 20550 26337 30825 43895 52674 61650 79011 87790 131685 158022 219475 263370 395055 438950 658425 790110 1202723 1316850 1975275 2405446 3608169 3950550 6013615 7216338 10824507 12027230 18040845 21649014 30068075 36081690 54122535 60136150 90204225 108245070 180408450 270612675 541225350