Search a number
-
+
1222114201 = 711292272411
BaseRepresentation
bin100100011010111…
…1111101110011001
310011011121211111221
41020311333232121
510000330123301
6321134052041
742166541110
oct11065775631
93134554457
101222114201
11577940540
122a134a021
13166267cc9
14b8448c77
1572457da1
hex48d7fb99

1222114201 has 32 divisors (see below), whose sum is σ = 1583815680. Its totient is φ = 915028800.

The previous prime is 1222114171. The next prime is 1222114211. The reversal of 1222114201 is 1024112221.

It is not a de Polignac number, because 1222114201 - 213 = 1222106009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1222114211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505686 + ... + 508096.

It is an arithmetic number, because the mean of its divisors is an integer number (49494240).

Almost surely, 21222114201 is an apocalyptic number.

1222114201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1222114201 is a deficient number, since it is larger than the sum of its proper divisors (361701479).

1222114201 is a wasteful number, since it uses less digits than its factorization.

1222114201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1222114201 is about 34958.7499919548. The cubic root of 1222114201 is about 1069.1466107271.

Adding to 1222114201 its reverse (1024112221), we get a palindrome (2246226422).

The spelling of 1222114201 in words is "one billion, two hundred twenty-two million, one hundred fourteen thousand, two hundred one".

Divisors: 1 7 11 29 77 203 227 319 1589 2233 2411 2497 6583 16877 17479 26521 46081 69919 72413 185647 489433 506891 547297 769109 3831079 5383763 6020267 15871613 42141869 111101291 174587743 1222114201