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2249080 = 23559953
BaseRepresentation
bin1000100101000101111000
311020021011021
420211011320
51033432310
6120112224
725055041
oct10450570
94207137
102249080
1112a6849
12905674
13609922
144278c8
152e65da
hex225178

2249080 has 32 divisors (see below), whose sum is σ = 5151600. Its totient is φ = 883456.

The previous prime is 2249069. The next prime is 2249089. The reversal of 2249080 is 809422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884 + ... + 2836.

22249080 is an apocalyptic number.

2249080 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 2249080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575800).

2249080 is an abundant number, since it is smaller than the sum of its proper divisors (2902520).

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

2249080 is a wasteful number, since it uses less digits than its factorization.

2249080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2249080 is about 1499.6933019788. The cubic root of 2249080 is about 131.0192074084.

The spelling of 2249080 in words is "two million, two hundred forty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 953 1180 1906 2360 3812 4765 7624 9530 19060 38120 56227 112454 224908 281135 449816 562270 1124540 2249080