Search a number
-
+
223412240 = 2459073079
BaseRepresentation
bin11010101000100…
…00000000010000
3120120101111222102
431110100000100
5424143142430
634100255532
75351654432
oct1524200020
9516344872
10223412240
11105123a17
12629a15a8
13373938bc
1421958652
1514931345
hexd510010

223412240 has 40 divisors (see below), whose sum is σ = 520175040. Its totient is φ = 89237376.

The previous prime is 223412209. The next prime is 223412251. The reversal of 223412240 is 42214322.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71021 + ... + 74099.

It is an arithmetic number, because the mean of its divisors is an integer number (13004376).

Almost surely, 2223412240 is an apocalyptic number.

223412240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223412240 is an abundant number, since it is smaller than the sum of its proper divisors (296762800).

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

223412240 is a wasteful number, since it uses less digits than its factorization.

223412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 223412240 is about 14946.9809660680. The cubic root of 223412240 is about 606.7861429276.

Adding to 223412240 its reverse (42214322), we get a palindrome (265626562).

The spelling of 223412240 in words is "two hundred twenty-three million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 907 1814 3079 3628 4535 6158 7256 9070 12316 14512 15395 18140 24632 30790 36280 49264 61580 72560 123160 246320 2792653 5585306 11170612 13963265 22341224 27926530 44682448 55853060 111706120 223412240