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224323220 = 225112633877
BaseRepresentation
bin11010101111011…
…10011010010100
3120122002210121102
431113232122110
5424411320340
634132005232
75362500362
oct1527563224
9518083542
10224323220
111056963a0
1263160818
1337622444
1421b14632
1514a61215
hexd5ee694

224323220 has 48 divisors (see below), whose sum is σ = 515991168. Its totient is φ = 81240960.

The previous prime is 224323201. The next prime is 224323241. The reversal of 224323220 is 22323422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224323192 and 224323201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55922 + ... + 59798.

It is an arithmetic number, because the mean of its divisors is an integer number (10749816).

Almost surely, 2224323220 is an apocalyptic number.

224323220 is a gapful number since it is divisible by the number (20) 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 224323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257995584).

224323220 is an abundant number, since it is smaller than the sum of its proper divisors (291667948).

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

224323220 is a wasteful number, since it uses less digits than its factorization.

224323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 224323220 is about 14977.4236769880. The cubic root of 224323220 is about 607.6097630026.

Adding to 224323220 its reverse (22323422), we get a palindrome (246646642).

It can be divided in two parts, 22432 and 3220, that added together give a palindrome (25652).

The spelling of 224323220 in words is "two hundred twenty-four million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2630 2893 3877 5260 5786 7754 11572 14465 15508 19385 28930 38770 42647 57860 77540 85294 170588 213235 426470 852940 1019651 2039302 4078604 5098255 10196510 11216161 20393020 22432322 44864644 56080805 112161610 224323220