Search a number
-
+
220461337 is a prime number
BaseRepresentation
bin11010010001111…
…11100100011001
3120100211121002201
431020333210121
5422414230322
633513130201
75314614265
oct1510774431
9510747081
10220461337
11103498958
12619b9961
133689c6c5
14213cb0a5
151454bd27
hexd23f919

220461337 has 2 divisors, whose sum is σ = 220461338. Its totient is φ = 220461336.

The previous prime is 220461331. The next prime is 220461343. The reversal of 220461337 is 733164022.

It is a balanced prime because it is at equal distance from previous prime (220461331) and next prime (220461343).

It can be written as a sum of positive squares in only one way, i.e., 152497801 + 67963536 = 12349^2 + 8244^2 .

It is a cyclic number.

It is not a de Polignac number, because 220461337 - 211 = 220459289 is a prime.

It is a super-2 number, since 2×2204613372 = 97206402223655138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220461331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110230668 + 110230669.

It is an arithmetic number, because the mean of its divisors is an integer number (110230669).

Almost surely, 2220461337 is an apocalyptic number.

It is an amenable number.

220461337 is a deficient number, since it is larger than the sum of its proper divisors (1).

220461337 is an equidigital number, since it uses as much as digits as its factorization.

220461337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 220461337 is about 14847.9404969174. The cubic root of 220461337 is about 604.1027493941.

The spelling of 220461337 in words is "two hundred twenty million, four hundred sixty-one thousand, three hundred thirty-seven".