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214792429 is a prime number
BaseRepresentation
bin11001100110101…
…11100011101101
3112222011120211011
430303113203231
5414441324204
633151425221
75215463665
oct1463274355
9488146734
10214792429
11100276805
125bb25211
1335666317
14207531a5
1513ccc304
hexccd78ed

214792429 has 2 divisors, whose sum is σ = 214792430. Its totient is φ = 214792428.

The previous prime is 214792427. The next prime is 214792451. The reversal of 214792429 is 924297412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111302500 + 103489929 = 10550^2 + 10173^2 .

It is a cyclic number.

It is not a de Polignac number, because 214792429 - 21 = 214792427 is a prime.

It is a super-2 number, since 2×2147924292 = 92271575111440082, which contains 22 as substring.

Together with 214792427, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 214792391 and 214792400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214792421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107396214 + 107396215.

It is an arithmetic number, because the mean of its divisors is an integer number (107396215).

Almost surely, 2214792429 is an apocalyptic number.

It is an amenable number.

214792429 is a deficient number, since it is larger than the sum of its proper divisors (1).

214792429 is an equidigital number, since it uses as much as digits as its factorization.

214792429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 40.

The square root of 214792429 is about 14655.7984770534. The cubic root of 214792429 is about 598.8797885491.

The spelling of 214792429 in words is "two hundred fourteen million, seven hundred ninety-two thousand, four hundred twenty-nine".