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4228500 = 223532819
BaseRepresentation
bin10000001000010110010100
321221211102010
4100020112110
52040303000
6230344220
750640663
oct20102624
97854363
104228500
112428a31
1214bb070
13b50893
147c0dda
15587d50
hex408594

4228500 has 48 divisors (see below), whose sum is σ = 12317760. Its totient is φ = 1127200.

The previous prime is 4228489. The next prime is 4228501. The reversal of 4228500 is 58224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228501) 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, 91 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (256620).

Almost surely, 24228500 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 4228500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158880).

4228500 is an abundant number, since it is smaller than the sum of its proper divisors (8089260).

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

4228500 is a wasteful number, since it uses less digits than its factorization.

4228500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4228500 is about 2056.3316853076. The cubic root of 4228500 is about 161.7069844296.

The spelling of 4228500 in words is "four million, two hundred twenty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 2819 5638 8457 11276 14095 16914 28190 33828 42285 56380 70475 84570 140950 169140 211425 281900 352375 422850 704750 845700 1057125 1409500 2114250 4228500