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214144259 = 7273131457
BaseRepresentation
bin11001100001110…
…01010100000011
3112220221122200212
430300321110003
5414310104014
633125504335
75210124200
oct1460712403
9486848625
10214144259
11aa97382a
125b8720ab
133549a2a4
1420624ca7
1513c0023e
hexcc39503

214144259 has 24 divisors (see below), whose sum is σ = 255003408. Its totient is φ = 179262720.

The previous prime is 214144253. The next prime is 214144279. The reversal of 214144259 is 952441412.

It is not a de Polignac number, because 214144259 - 24 = 214144243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214144253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468359 + ... + 468815.

It is an arithmetic number, because the mean of its divisors is an integer number (10625142).

Almost surely, 2214144259 is an apocalyptic number.

214144259 is a deficient number, since it is larger than the sum of its proper divisors (40859149).

214144259 is a wasteful number, since it uses less digits than its factorization.

214144259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 214144259 is about 14633.6686787695. The cubic root of 214144259 is about 598.2767768711.

The spelling of 214144259 in words is "two hundred fourteen million, one hundred forty-four thousand, two hundred fifty-nine".

Divisors: 1 7 49 73 131 457 511 917 3199 3577 6419 9563 22393 33361 59867 66941 233527 419069 468587 1634689 2933483 4370291 30592037 214144259