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2249298 = 2322931139
BaseRepresentation
bin1000100101001001010010
311020021110100
420211021102
51033434143
6120113230
725055502
oct10451122
94207410
102249298
1112a6a27
12905816
13609a5c
14427a02
152e66d3
hex225252

2249298 has 48 divisors (see below), whose sum is σ = 5241600. Its totient is φ = 695520.

The previous prime is 2249293. The next prime is 2249309. The reversal of 2249298 is 8929422.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 29 + 215 + 44 + 95 + 221 + 95 + 83 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16113 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

22249298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620800).

2249298 is an abundant number, since it is smaller than the sum of its proper divisors (2992302).

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

2249298 is a wasteful number, since it uses less digits than its factorization.

2249298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2249298 is about 1499.7659817452. The cubic root of 2249298 is about 131.0234404377.

The spelling of 2249298 in words is "two million, two hundred forty-nine thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 139 174 186 261 278 279 417 522 558 834 899 1251 1798 2502 2697 4031 4309 5394 8062 8091 8618 12093 12927 16182 24186 25854 36279 38781 72558 77562 124961 249922 374883 749766 1124649 2249298