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223321420 = 225721811259
BaseRepresentation
bin11010100111110…
…01110101001100
3120120012220101201
431103321311030
5424132241140
634054315244
75351125600
oct1523716514
9516186351
10223321420
11105071763
1262958b24
133736146a
1421933500
151491449a
hexd4f9d4c

223321420 has 72 divisors (see below), whose sum is σ = 548992080. Its totient is φ = 76083840.

The previous prime is 223321411. The next prime is 223321457. The reversal of 223321420 is 24123322.

223321420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176751 + ... + 178009.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890).

Almost surely, 2223321420 is an apocalyptic number.

223321420 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 223321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

223321420 is an abundant number, since it is smaller than the sum of its proper divisors (325670660).

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

223321420 is a wasteful number, since it uses less digits than its factorization.

223321420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 223321420 is about 14943.9425855428. The cubic root of 223321420 is about 606.7039096137.

Adding to 223321420 its reverse (24123322), we get a palindrome (247444742).

It can be divided in two parts, 2233 and 21420, that added together give a triangular number (23653 = T217).

The spelling of 223321420 in words is "two hundred twenty-three million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 181 196 245 362 490 724 905 980 1259 1267 1810 2518 2534 3620 5036 5068 6295 6335 8813 8869 12590 12670 17626 17738 25180 25340 35252 35476 44065 44345 61691 88130 88690 123382 176260 177380 227879 246764 308455 455758 616910 911516 1139395 1233820 1595153 2278790 3190306 4557580 6380612 7975765 11166071 15951530 22332142 31903060 44664284 55830355 111660710 223321420