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223526240 = 255734073
BaseRepresentation
bin11010101001010…
…11110101100000
3120120121022100122
431110223311200
5424210314430
634102535412
75352641000
oct1524536540
9516538318
10223526240
111051a1633
1262a37568
1337403762
1421988000
1514954ee5
hexd52bd60

223526240 has 96 divisors (see below), whose sum is σ = 615988800. Its totient is φ = 76618752.

The previous prime is 223526239. The next prime is 223526243. The reversal of 223526240 is 42625322.

223526240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223526243) 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, 52844 + ... + 56916.

It is an arithmetic number, because the mean of its divisors is an integer number (6416550).

Almost surely, 2223526240 is an apocalyptic number.

223526240 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 223526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307994400).

223526240 is an abundant number, since it is smaller than the sum of its proper divisors (392462560).

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

223526240 is an equidigital number, since it uses as much as digits as its factorization.

223526240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 223526240 is about 14950.7939588505. The cubic root of 223526240 is about 606.8893331228.

The spelling of 223526240 in words is "two hundred twenty-three million, five hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2744 3430 3920 4073 5488 6860 7840 8146 10976 13720 16292 20365 27440 28511 32584 40730 54880 57022 65168 81460 114044 130336 142555 162920 199577 228088 285110 325840 399154 456176 570220 651680 798308 912352 997885 1140440 1397039 1596616 1995770 2280880 2794078 3193232 3991540 4561760 5588156 6386464 6985195 7983080 11176312 13970390 15966160 22352624 27940780 31932320 44705248 55881560 111763120 223526240