Search a number
-
+
4222240 = 255112399
BaseRepresentation
bin10000000110110100100000
321221111211021
4100012310200
52040102430
6230255224
750613511
oct20066440
97844737
104222240
112424260
1214b7514
13b4aa89
147bca08
1558607a
hex406d20

4222240 has 48 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1534720.

The previous prime is 4222219. The next prime is 4222243. The reversal of 4222240 is 422224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4222243) 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, 561 + ... + 2959.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 24222240 is an apocalyptic number.

4222240 is a gapful number since it is divisible by the number (40) 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 4222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

4222240 is an abundant number, since it is smaller than the sum of its proper divisors (6664160).

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

4222240 is a wasteful number, since it uses less digits than its factorization.

4222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4222240 is about 2054.8089935563. The cubic root of 4222240 is about 161.6271463725.

Subtracting from 4222240 its sum of digits (16), we obtain a palindrome (4222224).

Adding to 4222240 its reverse (422224), we get a palindrome (4644464).

It can be divided in two parts, 422 and 2240, that added together give a palindrome (2662).

The spelling of 4222240 in words is "four million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2399 4798 9596 11995 19192 23990 26389 38384 47980 52778 76768 95960 105556 131945 191920 211112 263890 383840 422224 527780 844448 1055560 2111120 4222240