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2241201420 = 2233523315821
BaseRepresentation
bin1000010110010110…
…0000010100001100
312210012012211101000
42011211200110030
514042221421140
61010220420300
7106352616633
oct20545402414
95705184330
102241201420
11a50110887
125266a7690
13299428cb3
1417392451a
15d1b59a30
hex8596050c

2241201420 has 192 divisors, whose sum is σ = 7511777280. Its totient is φ = 553132800.

The previous prime is 2241201419. The next prime is 2241201463. The reversal of 2241201420 is 241021422.

2241201420 is a `hidden beast` number, since 2 + 2 + 41 + 201 + 420 = 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 = 2241201393 and 2241201402.

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 63 ways as a sum of consecutive naturals, for example, 382110 + ... + 387930.

It is an arithmetic number, because the mean of its divisors is an integer number (39123840).

Almost surely, 22241201420 is an apocalyptic number.

2241201420 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 2241201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755888640).

2241201420 is an abundant number, since it is smaller than the sum of its proper divisors (5270575860).

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

2241201420 is a wasteful number, since it uses less digits than its factorization.

2241201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2241201420 is about 47341.3288786870. The cubic root of 2241201420 is about 1308.6604063429.

Adding to 2241201420 its reverse (241021422), we get a palindrome (2482222842).

The spelling of 2241201420 in words is "two billion, two hundred forty-one million, two hundred one thousand, four hundred twenty".