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2242400 = 25522803
BaseRepresentation
bin1000100011011101100000
311012220222212
420203131200
51033224100
6120021252
725026416
oct10433540
94186885
102242400
1112a1826
12901828
13606884
144252b6
152e4635
hex223760

2242400 has 36 divisors (see below), whose sum is σ = 5476212. Its totient is φ = 896640.

The previous prime is 2242381. The next prime is 2242433. The reversal of 2242400 is 42422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 602 + ... + 2201.

It is an arithmetic number, because the mean of its divisors is an integer number (152117).

22242400 is an apocalyptic number.

2242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242400 is an abundant number, since it is smaller than the sum of its proper divisors (3233812).

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

2242400 is a wasteful number, since it uses less digits than its factorization.

2242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2242400 is about 1497.4645237868. The cubic root of 2242400 is about 130.8893652471.

Adding to 2242400 its reverse (42422), we get a palindrome (2284822).

The spelling of 2242400 in words is "two million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2803 5606 11212 14015 22424 28030 44848 56060 70075 89696 112120 140150 224240 280300 448480 560600 1121200 2242400