Search a number
-
+
2232100397 is a prime number
BaseRepresentation
bin1000010100001011…
…0010011000101101
312202120002110010002
42011002302120231
514032404203042
61005253354045
7106212353222
oct20502623055
95676073102
102232100397
11a45a6507a
12523638925
13297590687
14172635949
15d0e5d132
hex850b262d

2232100397 has 2 divisors, whose sum is σ = 2232100398. Its totient is φ = 2232100396.

The previous prime is 2232100379. The next prime is 2232100417. The reversal of 2232100397 is 7930012322.

Together with previous prime (2232100379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1154028841 + 1078071556 = 33971^2 + 32834^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232100397 - 212 = 2232096301 is a prime.

It is a super-3 number, since 3×22321003973 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232100337) 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 as a sum of consecutive naturals, namely, 1116050198 + 1116050199.

It is an arithmetic number, because the mean of its divisors is an integer number (1116050199).

Almost surely, 22232100397 is an apocalyptic number.

It is an amenable number.

2232100397 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232100397 is an equidigital number, since it uses as much as digits as its factorization.

2232100397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 2232100397 is about 47245.1097681019. The cubic root of 2232100397 is about 1306.8866097366.

The spelling of 2232100397 in words is "two billion, two hundred thirty-two million, one hundred thousand, three hundred ninety-seven".