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22021456 = 2419107677
BaseRepresentation
bin101010000000…
…0010101010000
31112102210202111
41110000111100
521114141311
62103555104
7355115332
oct124002520
945383674
1022021456
1111481056
12745ba94
134740562
142cd3452
151deed21
hex1500550

22021456 has 40 divisors (see below), whose sum is σ = 45398880. Its totient is φ = 10318464.

The previous prime is 22021429. The next prime is 22021457. The reversal of 22021456 is 65412022.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32190 + ... + 32866.

It is an arithmetic number, because the mean of its divisors is an integer number (1134972).

Almost surely, 222021456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22699440).

22021456 is an abundant number, since it is smaller than the sum of its proper divisors (23377424).

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

22021456 is a wasteful number, since it uses less digits than its factorization.

22021456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 22021456 is about 4692.7024197151. The cubic root of 22021456 is about 280.2949952198.

Adding to 22021456 its reverse (65412022), we get a palindrome (87433478).

The spelling of 22021456 in words is "twenty-two million, twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 107 152 214 304 428 677 856 1354 1712 2033 2708 4066 5416 8132 10832 12863 16264 25726 32528 51452 72439 102904 144878 205808 289756 579512 1159024 1376341 2752682 5505364 11010728 22021456