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214689468 = 223714531759
BaseRepresentation
bin11001100101111…
…10011010111100
3112221222100120210
430302332122330
5414430030333
633145312420
75214554550
oct1462763274
9487870523
10214689468
11100206414
125ba95710
133562b4b6
1420727860
1513caba63
hexccbe6bc

214689468 has 48 divisors (see below), whose sum is σ = 573224960. Its totient is φ = 61262784.

The previous prime is 214689457. The next prime is 214689473. The reversal of 214689468 is 864986412.

It is a super-3 number, since 3×2146894683 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 121173 + ... + 122931.

Almost surely, 2214689468 is an apocalyptic number.

214689468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214689468 is an abundant number, since it is smaller than the sum of its proper divisors (358535492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214689468 is a wasteful number, since it uses less digits than its factorization.

214689468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3224 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 214689468 is about 14652.2854190055. The cubic root of 214689468 is about 598.7840820147.

The spelling of 214689468 in words is "two hundred fourteen million, six hundred eighty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1453 1759 2906 3518 4359 5277 5812 7036 8718 10171 10554 12313 17436 20342 21108 24626 30513 36939 40684 49252 61026 73878 122052 147756 2555827 5111654 7667481 10223308 15334962 17890789 30669924 35781578 53672367 71563156 107344734 214689468