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2241184 = 25116367
BaseRepresentation
bin1000100011001010100000
311012212022211
420203022200
51033204214
6120011504
725023031
oct10431240
94185284
102241184
1112a0920
12900b94
1360615a
14424a88
152e40c4
hex2232a0

2241184 has 24 divisors (see below), whose sum is σ = 4814208. Its totient is φ = 1018560.

The previous prime is 2241181. The next prime is 2241191. The reversal of 2241184 is 4811422.

2241184 = T232 + T233 + ... + T295.

2241184 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2241181) 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 3 ways as a sum of consecutive naturals, for example, 2832 + ... + 3535.

It is an arithmetic number, because the mean of its divisors is an integer number (200592).

22241184 is an apocalyptic number.

It is an amenable number.

2241184 is an abundant number, since it is smaller than the sum of its proper divisors (2573024).

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

2241184 is a wasteful number, since it uses less digits than its factorization.

2241184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6380 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 2241184 is about 1497.0584490928. The cubic root of 2241184 is about 130.8657015762.

The spelling of 2241184 in words is "two million, two hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 6367 12734 25468 50936 70037 101872 140074 203744 280148 560296 1120592 2241184