Search a number
-
+
21223224 = 233211127211
BaseRepresentation
bin101000011110…
…1011100111000
31110221020210100
41100331130320
520413120344
62034515400
7345252201
oct120753470
943836710
1021223224
1110a86360
127135b60
134521129
142b665a8
151ce3569
hex143d738

21223224 has 96 divisors (see below), whose sum is σ = 63498240. Its totient is φ = 6350400.

The previous prime is 21223219. The next prime is 21223261. The reversal of 21223224 is 42232212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21223197 and 21223206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100479 + ... + 100689.

It is an arithmetic number, because the mean of its divisors is an integer number (661440).

Almost surely, 221223224 is an apocalyptic number.

21223224 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 21223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31749120).

21223224 is an abundant number, since it is smaller than the sum of its proper divisors (42275016).

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

21223224 is a wasteful number, since it uses less digits than its factorization.

21223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 21223224 is about 4606.8670482227. The cubic root of 21223224 is about 276.8665267718.

Adding to 21223224 its reverse (42232212), we get a palindrome (63455436).

It can be divided in two parts, 212 and 23224, that added together give a triangular number (23436 = T216).

The spelling of 21223224 in words is "twenty-one million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 127 132 198 211 254 264 381 396 422 508 633 762 792 844 1016 1143 1266 1397 1524 1688 1899 2286 2321 2532 2794 3048 3798 4191 4572 4642 5064 5588 6963 7596 8382 9144 9284 11176 12573 13926 15192 16764 18568 20889 25146 26797 27852 33528 41778 50292 53594 55704 80391 83556 100584 107188 160782 167112 214376 241173 294767 321564 482346 589534 643128 884301 964692 1179068 1768602 1929384 2358136 2652903 3537204 5305806 7074408 10611612 21223224