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216245214 = 235479467
BaseRepresentation
bin11001110001110…
…10001111011110
3120001220101200000
430320322033132
5420324321324
633242515130
75234024343
oct1470721736
9501811600
10216245214
11101079259
1260505aa6
1335a54663
1420a107ca
1513eb79c9
hexce3a3de

216245214 has 48 divisors (see below), whose sum is σ = 496274688. Its totient is φ = 70540632.

The previous prime is 216245201. The next prime is 216245221. The reversal of 216245214 is 412542612.

216245214 is a `hidden beast` number, since 21 + 624 + 5 + 2 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 18109 + ... + 27575.

It is an arithmetic number, because the mean of its divisors is an integer number (10339056).

Almost surely, 2216245214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216245214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248137344).

216245214 is an abundant number, since it is smaller than the sum of its proper divisors (280029474).

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

216245214 is an equidigital number, since it uses as much as digits as its factorization.

216245214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9519 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 216245214 is about 14705.2784400704. The cubic root of 216245214 is about 600.2269641346.

Adding to 216245214 its reverse (412542612), we get a palindrome (628787826).

The spelling of 216245214 in words is "two hundred sixteen million, two hundred forty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 846 1269 2538 3807 7614 9467 11421 18934 22842 28401 56802 85203 170406 255609 444949 511218 766827 889898 1334847 1533654 2300481 2669694 4004541 4600962 8009082 12013623 24027246 36040869 72081738 108122607 216245214