Search a number
-
+
229753315261 is a prime number
BaseRepresentation
bin1101010111111001011…
…1010101111110111101
3210222000220101201000201
43111332113111332331
512231013322042021
6253314110523501
722412333646241
oct3257627257675
9728026351021
10229753315261
118948a836348
123863bb06591
1318886562872
14b197874421
155e9a5c1591
hex357e5d5fbd

229753315261 has 2 divisors, whose sum is σ = 229753315262. Its totient is φ = 229753315260.

The previous prime is 229753315243. The next prime is 229753315279. The reversal of 229753315261 is 162513357922.

It is a balanced prime because it is at equal distance from previous prime (229753315243) and next prime (229753315279).

It can be written as a sum of positive squares in only one way, i.e., 224908320025 + 4844995236 = 474245^2 + 69606^2 .

It is a cyclic number.

It is not a de Polignac number, because 229753315261 - 25 = 229753315229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (229753310261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114876657630 + 114876657631.

It is an arithmetic number, because the mean of its divisors is an integer number (114876657631).

Almost surely, 2229753315261 is an apocalyptic number.

It is an amenable number.

229753315261 is a deficient number, since it is larger than the sum of its proper divisors (1).

229753315261 is an equidigital number, since it uses as much as digits as its factorization.

229753315261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 680400, while the sum is 46.

The spelling of 229753315261 in words is "two hundred twenty-nine billion, seven hundred fifty-three million, three hundred fifteen thousand, two hundred sixty-one".