Search a number
-
+
2122500 = 22354283
BaseRepresentation
bin1000000110001100000100
310222211112010
420012030010
51020410000
6113254220
724020022
oct10061404
93884463
102122500
11121a736
12864370
13594123
143d3712
152bdd50
hex206304

2122500 has 60 divisors (see below), whose sum is σ = 6210512. Its totient is φ = 564000.

The previous prime is 2122499. The next prime is 2122507. The reversal of 2122500 is 52212.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2122507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7359 + ... + 7641.

22122500 is an apocalyptic number.

2122500 is a gapful number since it is divisible by the number (20) 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 2122500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105256).

2122500 is an abundant number, since it is smaller than the sum of its proper divisors (4088012).

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

2122500 is a wasteful number, since it uses less digits than its factorization.

2122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2122500 is about 1456.8802284333. The cubic root of 2122500 is about 128.5136424624.

Adding to 2122500 its reverse (52212), we get a palindrome (2174712).

The spelling of 2122500 in words is "two million, one hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 283 300 375 500 566 625 750 849 1132 1250 1415 1500 1698 1875 2500 2830 3396 3750 4245 5660 7075 7500 8490 14150 16980 21225 28300 35375 42450 70750 84900 106125 141500 176875 212250 353750 424500 530625 707500 1061250 2122500