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4022500 = 22541609
BaseRepresentation
bin1111010110000011100100
321120100211111
433112003210
52012210000
6222114404
746122256
oct17260344
97510744
104022500
1122a8189
12141ba04
13aaaba1
14769cd6
15546cba
hex3d60e4

4022500 has 30 divisors (see below), whose sum is σ = 8801870. Its totient is φ = 1608000.

The previous prime is 4022483. The next prime is 4022507. The reversal of 4022500 is 52204.

It is a happy number.

4022500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 495616 + 3526884 = 704^2 + 1878^2 .

It is not an unprimeable number, because it can be changed into a prime (4022507) 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 9 ways as a sum of consecutive naturals, for example, 1696 + ... + 3304.

Almost surely, 24022500 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 4022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400935).

4022500 is an abundant number, since it is smaller than the sum of its proper divisors (4779370).

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

4022500 is a wasteful number, since it uses less digits than its factorization.

4022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4022500 is about 2005.6171120132. The cubic root of 4022500 is about 159.0371865608.

Adding to 4022500 its reverse (52204), we get a palindrome (4074704).

The spelling of 4022500 in words is "four million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1609 2500 3218 6436 8045 16090 32180 40225 80450 160900 201125 402250 804500 1005625 2011250 4022500