Search a number
-
+
213522349 is a prime number
BaseRepresentation
bin11001011101000…
…01011110101101
3112212210001121011
430232201132231
5414130203344
633104305221
75201624065
oct1456413655
9485701534
10213522349
11aa589557
125b612211
13353101b1
14205023a5
1513b2ad34
hexcba17ad

213522349 has 2 divisors, whose sum is σ = 213522350. Its totient is φ = 213522348.

The previous prime is 213522311. The next prime is 213522377. The reversal of 213522349 is 943225312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165122500 + 48399849 = 12850^2 + 6957^2 .

It is a cyclic number.

It is not a de Polignac number, because 213522349 - 215 = 213489581 is a prime.

It is a super-3 number, since 3×2135223493 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213522349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213525349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106761174 + 106761175.

It is an arithmetic number, because the mean of its divisors is an integer number (106761175).

Almost surely, 2213522349 is an apocalyptic number.

It is an amenable number.

213522349 is a deficient number, since it is larger than the sum of its proper divisors (1).

213522349 is an equidigital number, since it uses as much as digits as its factorization.

213522349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12960, while the sum is 31.

The square root of 213522349 is about 14612.4039432258. The cubic root of 213522349 is about 597.6970507205.

The spelling of 213522349 in words is "two hundred thirteen million, five hundred twenty-two thousand, three hundred forty-nine".