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214249959 = 32711319973
BaseRepresentation
bin11001100010100…
…11000111100111
3112221011000200200
430301103013213
5414321444314
633132041543
75211044310
oct1461230747
9487130620
10214249959
11aaa36190
125b9032b3
1335506431
1420651607
1513c21709
hexcc531e7

214249959 has 48 divisors (see below), whose sum is σ = 398321664. Its totient is φ = 107697600.

The previous prime is 214249949. The next prime is 214250041. The reversal of 214249959 is 959942412.

It is not a de Polignac number, because 214249959 - 25 = 214249927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214249949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16497 + ... + 26469.

It is an arithmetic number, because the mean of its divisors is an integer number (8298368).

Almost surely, 2214249959 is an apocalyptic number.

214249959 is a deficient number, since it is larger than the sum of its proper divisors (184071705).

214249959 is a wasteful number, since it uses less digits than its factorization.

214249959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028 (or 10025 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 214249959 is about 14637.2797677711. The cubic root of 214249959 is about 598.3751956565.

The spelling of 214249959 in words is "two hundred fourteen million, two hundred forty-nine thousand, nine hundred fifty-nine".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1953 2387 3069 7161 9973 21483 29919 69811 89757 109703 209433 309163 329109 628299 767921 927489 987327 2164141 2303763 2782467 3400793 6492423 6911289 10202379 19477269 23805551 30607137 71416653 214249959