Search a number
-
+
22030240 = 255157877
BaseRepresentation
bin101010000001…
…0011110100000
31112110020210211
41110002132200
521114431430
62104103504
7355153051
oct124023640
945406724
1022030240
1111487711
127464b94
13474455b
142cd6728
151e0272a
hex15027a0

22030240 has 48 divisors (see below), whose sum is σ = 52437672. Its totient is φ = 8745984.

The previous prime is 22030231. The next prime is 22030241. The reversal of 22030240 is 4203022.

It can be written as a sum of positive squares in 4 ways, for example, as 18974736 + 3055504 = 4356^2 + 1748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22030240.

It is not an unprimeable number, because it can be changed into a prime (22030241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24682 + ... + 25558.

Almost surely, 222030240 is an apocalyptic number.

22030240 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 22030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218836).

22030240 is an abundant number, since it is smaller than the sum of its proper divisors (30407432).

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

22030240 is a wasteful number, since it uses less digits than its factorization.

22030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 22030240 is about 4693.6382476710. The cubic root of 22030240 is about 280.3322586346.

Adding to 22030240 its reverse (4203022), we get a palindrome (26233262).

The spelling of 22030240 in words is "twenty-two million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 877 1256 1570 1754 2512 3140 3508 4385 5024 6280 7016 8770 12560 14032 17540 25120 28064 35080 70160 137689 140320 275378 550756 688445 1101512 1376890 2203024 2753780 4406048 5507560 11015120 22030240