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2201031444 = 2232919332771
BaseRepresentation
bin1000001100110001…
…0001001100010100
312200101121222112010
42003030101030110
514001431001234
61002223424220
7105354313203
oct20314211424
95611558463
102201031444
11a2a474557
12515155070
13291002c91
1416c46923a
15cd3726e9
hex83311314

2201031444 has 48 divisors (see below), whose sum is σ = 5340525120. Its totient is φ = 704686080.

The previous prime is 2201031431. The next prime is 2201031449. The reversal of 2201031444 is 4441301022.

It is a self number, because there is not a number n which added to its sum of digits gives 2201031444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201031449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50779 + ... + 83549.

It is an arithmetic number, because the mean of its divisors is an integer number (111260940).

Almost surely, 22201031444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201031444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670262560).

2201031444 is an abundant number, since it is smaller than the sum of its proper divisors (3139493676).

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

2201031444 is a wasteful number, since it uses less digits than its factorization.

2201031444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33000 (or 32998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2201031444 is about 46915.1515397744. The cubic root of 2201031444 is about 1300.7946707381.

Adding to 2201031444 its reverse (4441301022), we get a palindrome (6642332466).

The spelling of 2201031444 in words is "two billion, two hundred one million, thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 193 348 386 579 772 1158 2316 5597 11194 16791 22388 32771 33582 65542 67164 98313 131084 196626 393252 950359 1900718 2851077 3801436 5702154 6324803 11404308 12649606 18974409 25299212 37948818 75897636 183419287 366838574 550257861 733677148 1100515722 2201031444