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2144203201 = 72109593677
BaseRepresentation
bin111111111001101…
…1111000111000001
312112102200210211101
41333303133013001
513342404000301
6552433414401
7104064266200
oct17763370701
95472623741
102144203201
11a0038a668
124ba10a401
132822c68ba
14164ab5237
15c8399701
hex7fcdf1c1

2144203201 has 24 divisors (see below), whose sum is σ = 2525129640. Its totient is φ = 1815270912.

The previous prime is 2144203177. The next prime is 2144203261. The reversal of 2144203201 is 1023024412.

It can be written as a sum of positive squares in 4 ways, for example, as 1328529601 + 815673600 = 36449^2 + 28560^2 .

It is not a de Polignac number, because 2144203201 - 215 = 2144170433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2144203261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3166875 + ... + 3167551.

It is an arithmetic number, because the mean of its divisors is an integer number (105213735).

Almost surely, 22144203201 is an apocalyptic number.

It is an amenable number.

2144203201 is a deficient number, since it is larger than the sum of its proper divisors (380926439).

2144203201 is a wasteful number, since it uses less digits than its factorization.

2144203201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2144203201 is about 46305.5417957721. The cubic root of 2144203201 is about 1289.5018810748.

Adding to 2144203201 its reverse (1023024412), we get a palindrome (3167227613).

The spelling of 2144203201 in words is "two billion, one hundred forty-four million, two hundred three thousand, two hundred one".

Divisors: 1 7 49 109 593 677 763 4151 4739 5341 29057 33173 64637 73793 401461 452459 516551 2810227 3167213 3615857 19671589 43759249 306314743 2144203201