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2245648 = 24198389
BaseRepresentation
bin1000100100010000010000
311020002110011
420210100100
51033330043
6120044304
725042036
oct10442020
94202404
102245648
1112a4209
12903694
136081b2
14426556
152e559d
hex224410

2245648 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 1039104.

The previous prime is 2245643. The next prime is 2245657. The reversal of 2245648 is 8465422.

It is not an unprimeable number, because it can be changed into a prime (2245643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25188 + ... + 25276.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22245648 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 2245648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2245648 is an abundant number, since it is smaller than the sum of its proper divisors (2441552).

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

2245648 is a wasteful number, since it uses less digits than its factorization.

2245648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 2245648 is about 1498.5486311762. The cubic root of 2245648 is about 130.9525302436.

The spelling of 2245648 in words is "two million, two hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 76 83 89 152 166 178 304 332 356 664 712 1328 1424 1577 1691 3154 3382 6308 6764 7387 12616 13528 14774 25232 27056 29548 59096 118192 140353 280706 561412 1122824 2245648