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4224500 = 225371771
BaseRepresentation
bin10000000111010111110100
321221121220222
4100013113310
52040141000
6230313512
750623220
oct20072764
97847828
104224500
112425a25
1214b8898
13b4bb07
147bd780
15586a85
hex4075f4

4224500 has 96 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 1344000.

The previous prime is 4224491. The next prime is 4224503. The reversal of 4224500 is 54224.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59465 + ... + 59535.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 24224500 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 4224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

4224500 is an abundant number, since it is smaller than the sum of its proper divisors (7097356).

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

4224500 is a wasteful number, since it uses less digits than its factorization.

4224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4224500 is about 2055.3588494470. The cubic root of 4224500 is about 161.6559787930.

Adding to 4224500 its reverse (54224), we get a palindrome (4278724).

It can be divided in two parts, 42 and 24500, that added together give a palindrome (24542).

The spelling of 4224500 in words is "four million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 71 85 100 119 125 140 142 170 175 238 250 284 340 350 355 425 476 497 500 595 700 710 850 875 994 1190 1207 1420 1700 1750 1775 1988 2125 2380 2414 2485 2975 3500 3550 4250 4828 4970 5950 6035 7100 8449 8500 8875 9940 11900 12070 12425 14875 16898 17750 24140 24850 29750 30175 33796 35500 42245 49700 59500 60350 62125 84490 120700 124250 150875 168980 211225 248500 301750 422450 603500 844900 1056125 2112250 4224500