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2214202401 = 32246022489
BaseRepresentation
bin1000001111111010…
…0000110000100001
312201022102010200100
42003332200300201
514013313434101
61003414013013
7105604260405
oct20376406041
95638363610
102214202401
11a36950044
12519647169
13293964c48
141700d7105
15ce5c4e86
hex83fa0c21

2214202401 has 6 divisors (see below), whose sum is σ = 3198292370. Its totient is φ = 1476134928.

The previous prime is 2214202369. The next prime is 2214202409. The reversal of 2214202401 is 1042024122.

2214202401 is a `hidden beast` number, since 2 + 2 + 1 + 420 + 240 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1385626176 + 828576225 = 37224^2 + 28785^2 .

It is not a de Polignac number, because 2214202401 - 25 = 2214202369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2214202409) 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 5 ways as a sum of consecutive naturals, for example, 123011236 + ... + 123011253.

Almost surely, 22214202401 is an apocalyptic number.

It is an amenable number.

2214202401 is a deficient number, since it is larger than the sum of its proper divisors (984089969).

2214202401 is a wasteful number, since it uses less digits than its factorization.

2214202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246022495 (or 246022492 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2214202401 is about 47055.3121443265. The cubic root of 2214202401 is about 1303.3841612050.

Adding to 2214202401 its reverse (1042024122), we get a palindrome (3256226523).

The spelling of 2214202401 in words is "two billion, two hundred fourteen million, two hundred two thousand, four hundred one".

Divisors: 1 3 9 246022489 738067467 2214202401