Search a number
-
+
216400238289 = 3224044470921
BaseRepresentation
bin1100100110001001110…
…1011001011011010001
3202200120022020010000100
43021202131121123101
512021141430111124
6243225104043013
721430412450544
oct3114235313321
9680508203010
10216400238289
1183858324a44
1235b34003469
1317538c9b2a1
14a68c27a85b
1559681791c9
hex32627596d1

216400238289 has 6 divisors (see below), whose sum is σ = 312578121986. Its totient is φ = 144266825520.

The previous prime is 216400238281. The next prime is 216400238297. The reversal of 216400238289 is 982832004612.

216400238289 is a `hidden beast` number, since 2 + 1 + 6 + 400 + 238 + 2 + 8 + 9 = 666.

216400238289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216400238281) and next prime (216400238297).

It can be written as a sum of positive squares in only one way, i.e., 131257667025 + 85142571264 = 362295^2 + 291792^2 .

It is not a de Polignac number, because 216400238289 - 23 = 216400238281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216400238281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12022235452 + ... + 12022235469.

Almost surely, 2216400238289 is an apocalyptic number.

It is an amenable number.

216400238289 is a deficient number, since it is larger than the sum of its proper divisors (96177883697).

216400238289 is a wasteful number, since it uses less digits than its factorization.

216400238289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24044470927 (or 24044470924 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 216400238289 in words is "two hundred sixteen billion, four hundred million, two hundred thirty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 24044470921 72133412763 216400238289