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2249916 = 2231741269
BaseRepresentation
bin1000100101010010111100
311020022022020
420211102330
51033444131
6120120140
725060344
oct10452274
94208266
102249916
1112a7439
12906050
1360a116
14427d24
152e6996
hex2254bc

2249916 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 686080.

The previous prime is 2249911. The next prime is 2249917. The reversal of 2249916 is 6199422.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8230 + ... + 8498.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

22249916 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 2249916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2249916 is an abundant number, since it is smaller than the sum of its proper divisors (3465444).

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

2249916 is a wasteful number, since it uses less digits than its factorization.

2249916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 2249916 is about 1499.9719997387. The cubic root of 2249916 is about 131.0354390066.

The spelling of 2249916 in words is "two million, two hundred forty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 269 492 538 697 807 1076 1394 1614 2091 2788 3228 4182 4573 8364 9146 11029 13719 18292 22058 27438 33087 44116 54876 66174 132348 187493 374986 562479 749972 1124958 2249916