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216393147 = 331921492
BaseRepresentation
bin11001110010111…
…10010110111011
3120002011220121000
430321132112323
5420344040042
633250020043
75235211545
oct1471362673
9502156530
10216393147
1110116a413
1260577623
1335aa6aa9
1420a4c695
1513ee674c
hexce5e5bb

216393147 has 36 divisors (see below), whose sum is σ = 340629240. Its totient is φ = 135752112.

The previous prime is 216393139. The next prime is 216393173. The reversal of 216393147 is 741393612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

216393147 is a `hidden beast` number, since 2 + 1 + 639 + 3 + 14 + 7 = 666.

It is not a de Polignac number, because 216393147 - 23 = 216393139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216393127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1452229 + ... + 1452377.

Almost surely, 2216393147 is an apocalyptic number.

216393147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

216393147 is a deficient number, since it is larger than the sum of its proper divisors (124236093).

216393147 is an equidigital number, since it uses as much as digits as its factorization.

216393147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 171 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 216393147 is about 14710.3075086825. The cubic root of 216393147 is about 600.3638043661.

The spelling of 216393147 in words is "two hundred sixteen million, three hundred ninety-three thousand, one hundred forty-seven".

Divisors: 1 3 9 19 27 57 149 171 361 447 513 1083 1341 2831 3249 4023 8493 9747 22201 25479 53789 66603 76437 161367 199809 421819 484101 599427 1265457 1452303 3796371 8014561 11389113 24043683 72131049 216393147