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2200522401 = 3271123138059
BaseRepresentation
bin1000001100101001…
…0100111010100001
312200100200010020200
42003022110322201
514001313204101
61002204455413
7105350063130
oct20312247241
95610603220
102200522401
11a2a157060
12514b4a569
13290b8537c
1416c375917
15cd2c1986
hex83294ea1

2200522401 has 48 divisors (see below), whose sum is σ = 4135173120. Its totient is φ = 1093419360.

The previous prime is 2200522397. The next prime is 2200522403. The reversal of 2200522401 is 1042250022.

It is not a de Polignac number, because 2200522401 - 22 = 2200522397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2200522403) 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 47 ways as a sum of consecutive naturals, for example, 53091 + ... + 84968.

It is an arithmetic number, because the mean of its divisors is an integer number (86149440).

Almost surely, 22200522401 is an apocalyptic number.

2200522401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2200522401 is a deficient number, since it is larger than the sum of its proper divisors (1934650719).

2200522401 is a wasteful number, since it uses less digits than its factorization.

2200522401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138106 (or 138103 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2200522401 is about 46909.7260810591. The cubic root of 2200522401 is about 1300.6943826849.

Adding to 2200522401 its reverse (1042250022), we get a palindrome (3242772423).

The spelling of 2200522401 in words is "two billion, two hundred million, five hundred twenty-two thousand, four hundred one".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2277 5313 15939 138059 414177 966413 1242531 1518649 2899239 3175357 4555947 8697717 9526071 10630543 13667841 22227499 28578213 31891629 34928927 66682497 95674887 104786781 200047491 244502489 314360343 733507467 2200522401