Search a number
-
+
223513040 = 24524111593
BaseRepresentation
bin11010101001010…
…00100111010000
3120120120122020202
431110220213100
5424204404130
634102354332
75352554342
oct1524504720
9516518222
10223513040
11105192723
1262a2b9a8
13373ca74a
1421983292
1514951145
hexd5289d0

223513040 has 40 divisors (see below), whose sum is σ = 521869128. Its totient is φ = 89026560.

The previous prime is 223513021. The next prime is 223513051. The reversal of 223513040 is 40315322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100480576 + 123032464 = 10024^2 + 11092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 13484 + ... + 25076.

Almost surely, 2223513040 is an apocalyptic number.

223513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223513040 is an abundant number, since it is smaller than the sum of its proper divisors (298356088).

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

223513040 is a wasteful number, since it uses less digits than its factorization.

223513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847 (or 11841 counting only the distinct ones).

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

The square root of 223513040 is about 14950.3525042054. The cubic root of 223513040 is about 606.8773865807.

Adding to 223513040 its reverse (40315322), we get a palindrome (263828362).

The spelling of 223513040 in words is "two hundred twenty-three million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 11593 19280 23186 46372 57965 92744 115930 185488 231860 463720 927440 2793913 5587826 11175652 13969565 22351304 27939130 44702608 55878260 111756520 223513040