Search a number
-
+
2242600 = 235211213
BaseRepresentation
bin1000100011100000101000
311012221021021
420203200220
51033230400
6120022224
725030123
oct10434050
94187237
102242600
1112a1998
12901974
136069a9
144253ba
152e471a
hex223828

2242600 has 24 divisors (see below), whose sum is σ = 5214510. Its totient is φ = 896960.

The previous prime is 2242549. The next prime is 2242651. The reversal of 2242600 is 62422.

It is an interprime number because it is at equal distance from previous prime (2242549) and next prime (2242651).

It can be written as a sum of positive squares in 3 ways, for example, as 1028196 + 1214404 = 1014^2 + 1102^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5407 + ... + 5806.

22242600 is an apocalyptic number.

2242600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242600 is an abundant number, since it is smaller than the sum of its proper divisors (2971910).

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

2242600 is a wasteful number, since it uses less digits than its factorization.

2242600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2242600 is about 1497.5313018431. The cubic root of 2242600 is about 130.8932564789.

The spelling of 2242600 in words is "two million, two hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11213 22426 44852 56065 89704 112130 224260 280325 448520 560650 1121300 2242600