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223442340 = 2235112331453
BaseRepresentation
bin11010101000101…
…11010110100100
3120120110001021020
431110113112210
5424200123330
634101051140
75352141252
oct1524272644
9516401236
10223442340
111051445a0
12629b6ab0
13373a4504
14219655d2
151493a210
hexd5175a4

223442340 has 96 divisors (see below), whose sum is σ = 685915776. Its totient is φ = 53898240.

The previous prime is 223442281. The next prime is 223442357. The reversal of 223442340 is 43244322.

223442340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 223442340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153054 + ... + 154506.

It is an arithmetic number, because the mean of its divisors is an integer number (7144956).

Almost surely, 2223442340 is an apocalyptic number.

223442340 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 223442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342957888).

223442340 is an abundant number, since it is smaller than the sum of its proper divisors (462473436).

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

223442340 is a wasteful number, since it uses less digits than its factorization.

223442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 223442340 is about 14947.9878244532. The cubic root of 223442340 is about 606.8133921698.

Adding to 223442340 its reverse (43244322), we get a palindrome (266686662).

The spelling of 223442340 in words is "two hundred twenty-three million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 233 330 466 660 699 932 1165 1398 1453 2330 2563 2796 2906 3495 4359 4660 5126 5812 6990 7265 7689 8718 10252 12815 13980 14530 15378 15983 17436 21795 25630 29060 30756 31966 38445 43590 47949 51260 63932 76890 79915 87180 95898 153780 159830 191796 239745 319660 338549 479490 677098 958980 1015647 1354196 1692745 2031294 3385490 3724039 4062588 5078235 6770980 7448078 10156470 11172117 14896156 18620195 20312940 22344234 37240390 44688468 55860585 74480780 111721170 223442340