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4223560 = 2351129331
BaseRepresentation
bin10000000111001001001000
321221120122011
4100013021020
52040123220
6230305304
750620405
oct20071110
97846564
104223560
112425250
1214b8234
13b4b563
147bd2ac
1558665a
hex407248

4223560 has 64 divisors (see below), whose sum is σ = 10756800. Its totient is φ = 1478400.

The previous prime is 4223551. The next prime is 4223563. The reversal of 4223560 is 653224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 42 + 219 + 221 + 313 + 5 + 65 + 0 .

It is not an unprimeable number, because it can be changed into a prime (4223563) 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 15 ways as a sum of consecutive naturals, for example, 12595 + ... + 12925.

It is an arithmetic number, because the mean of its divisors is an integer number (168075).

Almost surely, 24223560 is an apocalyptic number.

4223560 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 4223560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378400).

4223560 is an abundant number, since it is smaller than the sum of its proper divisors (6533240).

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

4223560 is a wasteful number, since it uses less digits than its factorization.

4223560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4223560 is about 2055.1301661939. The cubic root of 4223560 is about 161.6439877966.

Adding to 4223560 its reverse (653224), we get a palindrome (4876784).

The spelling of 4223560 in words is "four million, two hundred twenty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 331 440 580 638 662 1160 1276 1324 1595 1655 2552 2648 3190 3310 3641 6380 6620 7282 9599 12760 13240 14564 18205 19198 29128 36410 38396 47995 72820 76792 95990 105589 145640 191980 211178 383960 422356 527945 844712 1055890 2111780 4223560