Search a number
-
+
300221012233 = 19241169311981
BaseRepresentation
bin1000101111001101001…
…00010001100100001001
31001200220220210121112101
410113212210101210021
514404323034342413
6345530350113401
730455520333022
oct4274644214411
91050826717471
10300221012233
11106360a3103a
124a2274ab861
1322406861c8c
1410760633c49
157c21cb8edd
hex45e6911909

300221012233 has 24 divisors (see below), whose sum is σ = 324800723016. Its totient is φ = 277295788800.

The previous prime is 300221012191. The next prime is 300221012269. The reversal of 300221012233 is 332210122003.

It can be written as a sum of positive squares in 4 ways, for example, as 35646572809 + 264574439424 = 188803^2 + 514368^2 .

It is not a de Polignac number, because 300221012233 - 221 = 300218915081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 300221012233.

It is not an unprimeable number, because it can be changed into a prime (300221012033) 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, 25052103 + ... + 25064083.

It is an arithmetic number, because the mean of its divisors is an integer number (13533363459).

Almost surely, 2300221012233 is an apocalyptic number.

It is an amenable number.

300221012233 is a deficient number, since it is larger than the sum of its proper divisors (24579710783).

300221012233 is a wasteful number, since it uses less digits than its factorization.

300221012233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13753 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 300221012233 its reverse (332210122003), we get a palindrome (632431134236).

The spelling of 300221012233 in words is "three hundred billion, two hundred twenty-one million, twelve thousand, two hundred thirty-three".

Divisors: 1 19 41 361 779 1693 11981 14801 32167 69413 227639 491221 611173 1318847 4325141 9333199 20283833 25058093 177330781 385392827 831637153 7322463713 15801105907 300221012233