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2241222401 = 114147105733
BaseRepresentation
bin1000010110010110…
…0101011100000001
312210012020220011002
42011211211130001
514042223104101
61010221101345
7106353035045
oct20545453401
95705226132
102241222401
11a50125620
125266b7855
13299435702
1417392c025
15d1b60d6b
hex85965701

2241222401 has 16 divisors (see below), whose sum is σ = 2557916928. Its totient is φ = 1945468800.

The previous prime is 2241222397. The next prime is 2241222409. The reversal of 2241222401 is 1042221422.

It is not a de Polignac number, because 2241222401 - 22 = 2241222397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2241222409) 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 15 ways as a sum of consecutive naturals, for example, 31670 + ... + 74063.

It is an arithmetic number, because the mean of its divisors is an integer number (159869808).

Almost surely, 22241222401 is an apocalyptic number.

It is an amenable number.

2241222401 is a deficient number, since it is larger than the sum of its proper divisors (316694527).

2241222401 is a wasteful number, since it uses less digits than its factorization.

2241222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105832.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2241222401 is about 47341.5504710186. The cubic root of 2241222401 is about 1308.6644900036.

Adding to 2241222401 its reverse (1042221422), we get a palindrome (3283443823).

The spelling of 2241222401 in words is "two billion, two hundred forty-one million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 11 41 47 451 517 1927 21197 105733 1163063 4335053 4969451 47685583 54663961 203747491 2241222401