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223217340 = 22358941801
BaseRepresentation
bin11010100111000…
…00011010111100
3120120000121121220
431103200122330
5424120423330
634052153340
75350213263
oct1523403274
9516017556
10223217340
11105000545
1262908850
1337325c88
14219075da
15148e3710
hexd4e06bc

223217340 has 48 divisors (see below), whose sum is σ = 632046240. Its totient is φ = 58854400.

The previous prime is 223217311. The next prime is 223217363. The reversal of 223217340 is 43712322.

223217340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232173403 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223217340.

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, 15561 + ... + 26240.

It is an arithmetic number, because the mean of its divisors is an integer number (13167630).

Almost surely, 2223217340 is an apocalyptic number.

223217340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223217340 is an abundant number, since it is smaller than the sum of its proper divisors (408828900).

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

223217340 is a wasteful number, since it uses less digits than its factorization.

223217340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41902 (or 41900 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 223217340 is about 14940.4598322809. The cubic root of 223217340 is about 606.6096425624.

Adding to 223217340 its reverse (43712322), we get a palindrome (266929662).

The spelling of 223217340 in words is "two hundred twenty-three million, two hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 41801 83602 125403 167204 209005 250806 418010 501612 627015 836020 1254030 2508060 3720289 7440578 11160867 14881156 18601445 22321734 37202890 44643468 55804335 74405780 111608670 223217340