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2244168 = 233271439
BaseRepresentation
bin1000100011111001001000
311020000102100
420203321020
51033303133
6120033400
725034523
oct10437110
94200370
102244168
1112a3093
12902860
13607614
14425bba
152e4e13
hex223e48

2244168 has 48 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 735840.

The previous prime is 2244167. The next prime is 2244173. The reversal of 2244168 is 8614422.

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 (2244163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4893 + ... + 5331.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

22244168 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 2244168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

2244168 is an abundant number, since it is smaller than the sum of its proper divisors (3933432).

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

2244168 is a wasteful number, since it uses less digits than its factorization.

2244168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2244168 is about 1498.0547386528. The cubic root of 2244168 is about 130.9237557225.

The spelling of 2244168 in words is "two million, two hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 439 568 639 852 878 1278 1317 1704 1756 2556 2634 3512 3951 5112 5268 7902 10536 15804 31169 31608 62338 93507 124676 187014 249352 280521 374028 561042 748056 1122084 2244168