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2290248 = 233323461
BaseRepresentation
bin1000101111001001001000
311022100122000
420233021020
51041241443
6121031000
725316052
oct10571110
94270560
102290248
111324774
12925460
1362259c
144388d2
153038d3
hex22f248

2290248 has 64 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 728640.

The previous prime is 2290243. The next prime is 2290259. The reversal of 2290248 is 8420922.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2290243) 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, 4738 + ... + 5198.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

22290248 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 2290248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2290248 is an abundant number, since it is smaller than the sum of its proper divisors (4362552).

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

2290248 is a wasteful number, since it uses less digits than its factorization.

2290248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2290248 is about 1513.3565343302. The cubic root of 2290248 is about 131.8137870188.

The spelling of 2290248 in words is "two million, two hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 461 552 621 828 922 1242 1383 1656 1844 2484 2766 3688 4149 4968 5532 8298 10603 11064 12447 16596 21206 24894 31809 33192 42412 49788 63618 84824 95427 99576 127236 190854 254472 286281 381708 572562 763416 1145124 2290248