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223240224 = 2534749477
BaseRepresentation
bin11010100111001…
…10000000100000
3120120001210000110
431103212000200
5424122141344
634052451320
75350340064
oct1523460040
9516053013
10223240224
11105016759
1262919b40
133733350c
1421911aa4
15148ea3b9
hexd4e6020

223240224 has 48 divisors (see below), whose sum is σ = 598485888. Its totient is φ = 72828672.

The previous prime is 223240217. The next prime is 223240229. The reversal of 223240224 is 422042322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2232402243 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223240224.

It is not an unprimeable number, because it can be changed into a prime (223240229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20227 + ... + 29250.

It is an arithmetic number, because the mean of its divisors is an integer number (12468456).

Almost surely, 2223240224 is an apocalyptic number.

223240224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223240224 is an abundant number, since it is smaller than the sum of its proper divisors (375245664).

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

223240224 is a wasteful number, since it uses less digits than its factorization.

223240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49537 (or 49529 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 223240224 is about 14941.2256525360. The cubic root of 223240224 is about 606.6303715087.

Adding to 223240224 its reverse (422042322), we get a palindrome (645282546).

The spelling of 223240224 in words is "two hundred twenty-three million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 49477 98954 148431 197908 296862 395816 593724 791632 1187448 1583264 2325419 2374896 4650838 4749792 6976257 9301676 13952514 18603352 27905028 37206704 55810056 74413408 111620112 223240224