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216024320 = 285168769
BaseRepresentation
bin11001110000001…
…00010100000000
3120001111011122202
430320010110000
5420300234240
633234052332
75232114341
oct1470042400
9501434582
10216024320
11100a382a6
126041a0a8
13359a7c55
14209940c8
1513e72315
hexce04500

216024320 has 36 divisors (see below), whose sum is σ = 517448820. Its totient is φ = 86409216.

The previous prime is 216024299. The next prime is 216024329. The reversal of 216024320 is 23420612.

It can be written as a sum of positive squares in 2 ways, for example, as 105185536 + 110838784 = 10256^2 + 10528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 216024292 and 216024301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216024329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83105 + ... + 85664.

Almost surely, 2216024320 is an apocalyptic number.

216024320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216024320 is an abundant number, since it is smaller than the sum of its proper divisors (301424500).

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

216024320 is an equidigital number, since it uses as much as digits as its factorization.

216024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168790 (or 168776 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 216024320 is about 14697.7658166131. The cubic root of 216024320 is about 600.0225176734.

Adding to 216024320 its reverse (23420612), we get a palindrome (239444932).

The spelling of 216024320 in words is "two hundred sixteen million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 168769 337538 675076 843845 1350152 1687690 2700304 3375380 5400608 6750760 10801216 13501520 21602432 27003040 43204864 54006080 108012160 216024320