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2243640 = 233572671
BaseRepresentation
bin1000100011110000111000
311012222200210
420203300320
51033244030
6120031120
725033140
oct10436070
94188623
102243640
1112a2753
129024a0
136072c9
14425920
152e4bb0
hex223c38

2243640 has 64 divisors (see below), whose sum is σ = 7695360. Its totient is φ = 512640.

The previous prime is 2243623. The next prime is 2243663. The reversal of 2243640 is 463422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (120240).

22243640 is an apocalyptic number.

2243640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847680).

2243640 is an abundant number, since it is smaller than the sum of its proper divisors (5451720).

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

2243640 is a wasteful number, since it uses less digits than its factorization.

2243640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2243640 is about 1497.8784997456. The cubic root of 2243640 is about 130.9134871560.

The spelling of 2243640 in words is "two million, two hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2671 5342 8013 10684 13355 16026 18697 21368 26710 32052 37394 40065 53420 56091 64104 74788 80130 93485 106840 112182 149576 160260 186970 224364 280455 320520 373940 448728 560910 747880 1121820 2243640