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223040 = 2651741
BaseRepresentation
bin110110011101000000
3102022221202
4312131000
524114130
64440332
71616156
oct663500
9368852
10223040
11142634
12a90a8
137a69c
145b3d6
1546145
hex36740

223040 has 56 divisors (see below), whose sum is σ = 576072. Its totient is φ = 81920.

The previous prime is 223037. The next prime is 223049. The reversal of 223040 is 40322.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 215296 = 88^2 + 464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5420 + ... + 5460.

It is an arithmetic number, because the mean of its divisors is an integer number (10287).

2223040 is an apocalyptic number.

223040 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 223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288036).

223040 is an abundant number, since it is smaller than the sum of its proper divisors (353032).

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

223040 is a wasteful number, since it uses less digits than its factorization.

223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 223040 is about 472.2711085807. The cubic root of 223040 is about 60.6448955142.

Adding to 223040 its reverse (40322), we get a palindrome (263362).

The spelling of 223040 in words is "two hundred twenty-three thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 136 160 164 170 205 272 320 328 340 410 544 656 680 697 820 1088 1312 1360 1394 1640 2624 2720 2788 3280 3485 5440 5576 6560 6970 11152 13120 13940 22304 27880 44608 55760 111520 223040