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2249016 = 2337111217
BaseRepresentation
bin1000100101000100111000
311020021001220
420211010320
51033432031
6120112040
725054620
oct10450470
94207056
102249016
1112a67a0
12905620
136098a3
14427880
152e6596
hex225138

2249016 has 64 divisors (see below), whose sum is σ = 7015680. Its totient is φ = 583680.

The previous prime is 2248999. The next prime is 2249053. The reversal of 2249016 is 6109422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240 + ... + 2456.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

22249016 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 2249016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840).

2249016 is an abundant number, since it is smaller than the sum of its proper divisors (4766664).

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

2249016 is a wasteful number, since it uses less digits than its factorization.

2249016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2249016 is about 1499.6719641308. The cubic root of 2249016 is about 131.0179646322.

The spelling of 2249016 in words is "two million, two hundred forty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1217 1848 2434 3651 4868 7302 8519 9736 13387 14604 17038 25557 26774 29208 34076 40161 51114 53548 68152 80322 93709 102228 107096 160644 187418 204456 281127 321288 374836 562254 749672 1124508 2249016