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22023440 = 245614513
BaseRepresentation
bin101010000000…
…0110100010000
31112102220110222
41110000310100
521114222230
62104012212
7355124165
oct124006420
945386428
1022023440
111148259a
127461068
13474142a
142cd406c
151e006e5
hex1500d10

22023440 has 40 divisors (see below), whose sum is σ = 52055448. Its totient is φ = 8663040.

The previous prime is 22023431. The next prime is 22023457. The reversal of 22023440 is 4432022.

It can be written as a sum of positive squares in 4 ways, for example, as 2768896 + 19254544 = 1664^2 + 4388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 2624 + ... + 7136.

Almost surely, 222023440 is an apocalyptic number.

22023440 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 22023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26027724).

22023440 is an abundant number, since it is smaller than the sum of its proper divisors (30032008).

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

22023440 is a wasteful number, since it uses less digits than its factorization.

22023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 22023440 is about 4692.9138070073. The cubic root of 22023440 is about 280.3034125950.

Adding to 22023440 its reverse (4432022), we get a palindrome (26455462).

The spelling of 22023440 in words is "twenty-two million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4513 4880 9026 18052 22565 36104 45130 72208 90260 180520 275293 361040 550586 1101172 1376465 2202344 2752930 4404688 5505860 11011720 22023440