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241122020 = 22561197641
BaseRepresentation
bin11100101111100…
…11101011100100
3121210201021020012
432113303223210
5443211401040
635532025352
75655334436
oct1627635344
9553637205
10241122020
1111411a5a7
1268902258
133ac54769
1424048656
151627d865
hexe5f3ae4

241122020 has 24 divisors (see below), whose sum is σ = 514659768. Its totient is φ = 94867200.

The previous prime is 241122001. The next prime is 241122023. The reversal of 241122020 is 20221142.

241122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 996004 + 240126016 = 998^2 + 15496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241121986 and 241122004.

It is not an unprimeable number, because it can be changed into a prime (241122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97601 + ... + 100040.

It is an arithmetic number, because the mean of its divisors is an integer number (21444157).

Almost surely, 2241122020 is an apocalyptic number.

241122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241122020 is an abundant number, since it is smaller than the sum of its proper divisors (273537748).

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

241122020 is a wasteful number, since it uses less digits than its factorization.

241122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197711 (or 197709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 241122020 is about 15528.1041985170. The cubic root of 241122020 is about 622.4134339822.

Adding to 241122020 its reverse (20221142), we get a palindrome (261343162).

The spelling of 241122020 in words is "two hundred forty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 197641 395282 790564 988205 1976410 3952820 12056101 24112202 48224404 60280505 120561010 241122020