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223014024 = 233217182201
BaseRepresentation
bin11010100101011…
…10110010001000
3120112122021201200
431102232302020
5424042422044
634043544200
75345405442
oct1522566210
9515567650
10223014024
11104981812
126282b060
133728457c
1421893492
15148a3369
hexd4aec88

223014024 has 48 divisors (see below), whose sum is σ = 639529020. Its totient is φ = 69964800.

The previous prime is 223014023. The next prime is 223014061. The reversal of 223014024 is 420410322.

It can be written as a sum of positive squares in 2 ways, for example, as 215561124 + 7452900 = 14682^2 + 2730^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223013988 and 223014006.

It is not an unprimeable number, because it can be changed into a prime (223014023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 89877 + ... + 92324.

Almost surely, 2223014024 is an apocalyptic number.

223014024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223014024 is an abundant number, since it is smaller than the sum of its proper divisors (416514996).

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

223014024 is a wasteful number, since it uses less digits than its factorization.

223014024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182230 (or 182223 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223014024 is about 14933.6540739365. The cubic root of 223014024 is about 606.4254111898.

Adding to 223014024 its reverse (420410322), we get a palindrome (643424346).

The spelling of 223014024 in words is "two hundred twenty-three million, fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 182201 364402 546603 728804 1093206 1457608 1639809 2186412 3097417 3279618 4372824 6194834 6559236 9292251 12389668 13118472 18584502 24779336 27876753 37169004 55753506 74338008 111507012 223014024