Search a number
-
+
402223210401 = 3314619381737
BaseRepresentation
bin1011101101001100101…
…11110001111110100001
31102110012121221011022210
411312212113301332201
523042223120213101
6504440115152333
741026315606665
oct5664627617641
91373177834283
10402223210401
11145644575271
1265b538a56a9
132bc1110845c
14156795628a5
15a6e1b9c7d6
hex5da65f1fa1

402223210401 has 16 divisors (see below), whose sum is σ = 554798458368. Its totient is φ = 258935913600.

The previous prime is 402223210373. The next prime is 402223210421. The reversal of 402223210401 is 104012322204.

It is not a de Polignac number, because 402223210401 - 211 = 402223208353 is a prime.

It is a super-3 number, since 3×4022232104013 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (402223210421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4647996 + ... + 4733741.

It is an arithmetic number, because the mean of its divisors is an integer number (34674903648).

Almost surely, 2402223210401 is an apocalyptic number.

It is an amenable number.

402223210401 is a deficient number, since it is larger than the sum of its proper divisors (152575247967).

402223210401 is a wasteful number, since it uses less digits than its factorization.

402223210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382232.

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

Adding to 402223210401 its reverse (104012322204), we get a palindrome (506235532605).

The spelling of 402223210401 in words is "four hundred two billion, two hundred twenty-three million, two hundred ten thousand, four hundred one".

Divisors: 1 3 31 93 461 1383 14291 42873 9381737 28145211 290833847 872501541 4324980757 12974942271 134074403467 402223210401