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2234030401 = 17253157929
BaseRepresentation
bin1000010100101000…
…1001100101000001
312202200201111120201
42011022021211001
514033402433101
61005403005201
7106234642111
oct20512114501
95680644521
102234030401
11a47063119
12524209801
13297ab7ca5
141729b9041
15d11dee01
hex85289941

2234030401 has 24 divisors (see below), whose sum is σ = 2435971320. Its totient is φ = 2047598592.

The previous prime is 2234030371. The next prime is 2234030417. The reversal of 2234030401 is 1040304322.

It can be written as a sum of positive squares in 12 ways, for example, as 359140401 + 1874890000 = 18951^2 + 43300^2 .

It is not a de Polignac number, because 2234030401 - 25 = 2234030369 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234030441) 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 23 ways as a sum of consecutive naturals, for example, 2404305 + ... + 2405233.

It is an arithmetic number, because the mean of its divisors is an integer number (101498805).

Almost surely, 22234030401 is an apocalyptic number.

It is an amenable number.

2234030401 is a deficient number, since it is larger than the sum of its proper divisors (201940919).

2234030401 is a wasteful number, since it uses less digits than its factorization.

2234030401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2234030401 is about 47265.5307914764. The cubic root of 2234030401 is about 1307.2631713169.

Adding to 2234030401 its reverse (1040304322), we get a palindrome (3274334723).

The spelling of 2234030401 in words is "two billion, two hundred thirty-four million, thirty thousand, four hundred one".

Divisors: 1 17 53 157 289 901 929 2669 8321 15317 15793 45373 49237 141457 145853 268481 837029 2404769 2479501 7730209 14229493 42151517 131413553 2234030401