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2220400401 = 31938954393
BaseRepresentation
bin1000010001011000…
…1001111100010001
312201202002000201220
42010112021330101
514021410303101
61004154515253
7106011043362
oct20426117421
95652060656
102220400401
11a3a3a375a
1251b735b29
132950250bb
14170c6bb69
15cedeb636
hex84589f11

2220400401 has 8 divisors (see below), whose sum is σ = 3116351520. Its totient is φ = 1402358112.

The previous prime is 2220400349. The next prime is 2220400411. The reversal of 2220400401 is 1040040222.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2220400401 - 26 = 2220400337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2220400411) 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 7 ways as a sum of consecutive naturals, for example, 19477140 + ... + 19477253.

It is an arithmetic number, because the mean of its divisors is an integer number (389543940).

Almost surely, 22220400401 is an apocalyptic number.

It is an amenable number.

2220400401 is a deficient number, since it is larger than the sum of its proper divisors (895951119).

2220400401 is a wasteful number, since it uses less digits than its factorization.

2220400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38954415.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2220400401 is about 47121.1247849624. The cubic root of 2220400401 is about 1304.5991734459.

Adding to 2220400401 its reverse (1040040222), we get a palindrome (3260440623).

The spelling of 2220400401 in words is "two billion, two hundred twenty million, four hundred thousand, four hundred one".

Divisors: 1 3 19 57 38954393 116863179 740133467 2220400401