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223315040 = 255131011063
BaseRepresentation
bin11010100111110…
…00010001100000
3120120012120122102
431103320101200
5424132040130
634054225532
75351101154
oct1523702140
9516176572
10223315040
11105067993
12629552a8
133735b5a0
1421931064
1514912645
hexd4f8460

223315040 has 96 divisors (see below), whose sum is σ = 574330176. Its totient is φ = 81561600.

The previous prime is 223315033. The next prime is 223315061. The reversal of 223315040 is 40513322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 209549 + ... + 210611.

It is an arithmetic number, because the mean of its divisors is an integer number (5982606).

Almost surely, 2223315040 is an apocalyptic number.

223315040 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 223315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287165088).

223315040 is an abundant number, since it is smaller than the sum of its proper divisors (351015136).

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

223315040 is a wasteful number, since it uses less digits than its factorization.

223315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 223315040 is about 14943.7291196006. The cubic root of 223315040 is about 606.6981319804.

Adding to 223315040 its reverse (40513322), we get a palindrome (263828362).

The spelling of 223315040 in words is "two hundred twenty-three million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 101 104 130 160 202 208 260 404 416 505 520 808 1010 1040 1063 1313 1616 2020 2080 2126 2626 3232 4040 4252 5252 5315 6565 8080 8504 10504 10630 13130 13819 16160 17008 21008 21260 26260 27638 34016 42016 42520 52520 55276 69095 85040 105040 107363 110552 138190 170080 210080 214726 221104 276380 429452 442208 536815 552760 858904 1073630 1105520 1395719 1717808 2147260 2211040 2791438 3435616 4294520 5582876 6978595 8589040 11165752 13957190 17178080 22331504 27914380 44663008 55828760 111657520 223315040