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223134340 = 2251113611279
BaseRepresentation
bin11010100110011…
…00001010000100
3120112212101202211
431103030022010
5424110244330
634050313204
75346416302
oct1523141204
9515771684
10223134340
11104a54150
1262888804
13372c7270
14218c5272
15148c8d2a
hexd4cc284

223134340 has 96 divisors (see below), whose sum is σ = 559964160. Its totient is φ = 73612800.

The previous prime is 223134319. The next prime is 223134391. The reversal of 223134340 is 43431322.

It is a happy number.

It is a super-3 number, since 3×2231343403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173821 + ... + 175099.

It is an arithmetic number, because the mean of its divisors is an integer number (5832960).

Almost surely, 2223134340 is an apocalyptic number.

223134340 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 223134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279982080).

223134340 is an abundant number, since it is smaller than the sum of its proper divisors (336829820).

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

223134340 is a wasteful number, since it uses less digits than its factorization.

223134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 223134340 is about 14937.6818817379. The cubic root of 223134340 is about 606.5344470272.

Adding to 223134340 its reverse (43431322), we get a palindrome (266565662).

The spelling of 223134340 in words is "two hundred twenty-three million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 61 65 110 122 130 143 220 244 260 286 305 572 610 671 715 793 1220 1279 1342 1430 1586 2558 2684 2860 3172 3355 3965 5116 6395 6710 7930 8723 12790 13420 14069 15860 16627 17446 25580 28138 33254 34892 43615 56276 66508 70345 78019 83135 87230 140690 156038 166270 174460 182897 281380 312076 332540 365794 390095 731588 780190 858209 914485 1014247 1560380 1716418 1828970 2028494 3432836 3657940 4056988 4291045 5071235 8582090 10142470 11156717 17164180 20284940 22313434 44626868 55783585 111567170 223134340