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2248668 = 223347443
BaseRepresentation
bin1000100100111111011100
311020020121000
420210333130
51033424133
6120110300
725053612
oct10447734
94206530
102248668
1112a6504
12905390
13609696
144276b2
152e6413
hex224fdc

2248668 has 48 divisors (see below), whose sum is σ = 5967360. Its totient is φ = 731952.

The previous prime is 2248663. The next prime is 2248679. The reversal of 2248668 is 8668422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248661) 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, 4855 + ... + 5297.

It is an arithmetic number, because the mean of its divisors is an integer number (124320).

22248668 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 2248668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983680).

2248668 is an abundant number, since it is smaller than the sum of its proper divisors (3718692).

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

2248668 is a wasteful number, since it uses less digits than its factorization.

2248668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2248668 is about 1499.5559342685. Note that the first 3 decimals coincide. The cubic root of 2248668 is about 131.0112066244.

It can be divided in two parts, 2248 and 668, that added together give a square (2916 = 542).

The spelling of 2248668 in words is "two million, two hundred forty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 443 564 846 886 1269 1329 1692 1772 2538 2658 3987 5076 5316 7974 11961 15948 20821 23922 41642 47844 62463 83284 124926 187389 249852 374778 562167 749556 1124334 2248668