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223241424 = 24373717957
BaseRepresentation
bin11010100111001…
…10010011010000
3120120001211122220
431103212103100
5424122211144
634052501040
75350343430
oct1523462320
9516054586
10223241424
1110501764a
126291a780
1337333c23
14219122c0
15148ea919
hexd4e64d0

223241424 has 80 divisors (see below), whose sum is σ = 676944768. Its totient is φ = 62055936.

The previous prime is 223241419. The next prime is 223241443. The reversal of 223241424 is 424142322.

It is a super-3 number, since 3×2232414243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 223241394 and 223241403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3454 + ... + 21410.

Almost surely, 2223241424 is an apocalyptic number.

223241424 is a gapful number since it is divisible by the number (24) 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 223241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338472384).

223241424 is an abundant number, since it is smaller than the sum of its proper divisors (453703344).

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

223241424 is a wasteful number, since it uses less digits than its factorization.

223241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012 (or 18006 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 223241424 is about 14941.2658098302. The cubic root of 223241424 is about 606.6314584620.

Adding to 223241424 its reverse (424142322), we get a palindrome (647383746).

The spelling of 223241424 in words is "two hundred twenty-three million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 17957 35914 53871 71828 107742 125699 143656 215484 251398 287312 377097 430968 502796 664409 754194 861936 1005592 1328818 1508388 1993227 2011184 2657636 3016776 3986454 4650863 5315272 6033552 7972908 9301726 10630544 13952589 15945816 18603452 27905178 31891632 37206904 55810356 74413808 111620712 223241424