Search a number
-
+
216019872 = 253483341
BaseRepresentation
bin11001110000000…
…11001110100000
3120001110221120000
430320003032200
5420300113442
633234020000
75232065355
oct1470031640
9501427500
10216019872
11100a34a22
1260417600
13359a5c13
142099262c
1513e70d4c
hexce033a0

216019872 has 60 divisors (see below), whose sum is σ = 635316066. Its totient is φ = 72005760.

The previous prime is 216019861. The next prime is 216019879. The reversal of 216019872 is 278910612.

It can be written as a sum of positive squares in only one way, i.e., 141991056 + 74028816 = 11916^2 + 8604^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216019879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39079 + ... + 44262.

Almost surely, 2216019872 is an apocalyptic number.

It is an amenable number.

216019872 is an abundant number, since it is smaller than the sum of its proper divisors (419296194).

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

216019872 is an equidigital number, since it uses as much as digits as its factorization.

216019872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83363 (or 83346 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 216019872 is about 14697.6145003194. The cubic root of 216019872 is about 600.0183994358.

The spelling of 216019872 in words is "two hundred sixteen million, nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 83341 166682 250023 333364 500046 666728 750069 1000092 1333456 1500138 2000184 2250207 2666912 3000276 4000368 4500414 6000552 6750621 8000736 9000828 12001104 13501242 18001656 24002208 27002484 36003312 54004968 72006624 108009936 216019872