Search a number
-
+
21222240 = 25351319179
BaseRepresentation
bin101000011110…
…1001101100000
31110221012102220
41100331031200
520413102430
62034511040
7345246264
oct120751540
943835386
1021222240
1110a85646
127135480
134520850
142b660a4
151ce3110
hex143d360

21222240 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 4921344.

The previous prime is 21222211. The next prime is 21222251. The reversal of 21222240 is 4222212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 118471 + ... + 118649.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 221222240 is an apocalyptic number.

21222240 is a gapful number since it is divisible by the number (20) 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 21222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

21222240 is an abundant number, since it is smaller than the sum of its proper divisors (54982560).

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

21222240 is a wasteful number, since it uses less digits than its factorization.

21222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 21222240 is about 4606.7602498936. The cubic root of 21222240 is about 276.8622477978.

Adding to 21222240 its reverse (4222212), we get a palindrome (25444452).

The spelling of 21222240 in words is "twenty-one million, two hundred twenty-two thousand, two hundred forty".