Search a number
-
+
21088224 = 2532371979
BaseRepresentation
bin101000001110…
…0011111100000
31110200101121100
41100130133200
520344310344
62031554400
7344150463
oct120343740
943611540
1021088224
11109a3993
12708ba00
1344a4851
142b2d2da
151cb8569
hex141c7e0

21088224 has 72 divisors (see below), whose sum is σ = 61621560. Its totient is φ = 6835968.

The previous prime is 21088219. The next prime is 21088237. The reversal of 21088224 is 42288012.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9667 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 221088224 is an apocalyptic number.

21088224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21088224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30810780).

21088224 is an abundant number, since it is smaller than the sum of its proper divisors (40533336).

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

21088224 is a wasteful number, since it uses less digits than its factorization.

21088224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21088224 is about 4592.1916336320. The cubic root of 21088224 is about 276.2782323405.

It can be divided in two parts, 21088 and 224, that added together give a palindrome (21312).

The spelling of 21088224 in words is "twenty-one million, eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 1979 2664 3552 3958 5328 5937 7916 10656 11874 15832 17811 23748 31664 35622 47496 63328 71244 73223 94992 142488 146446 189984 219669 284976 292892 439338 569952 585784 659007 878676 1171568 1318014 1757352 2343136 2636028 3514704 5272056 7029408 10544112 21088224