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223760240 = 24511892857
BaseRepresentation
bin11010101011001…
…00111101110000
3120121001012100022
431111210331300
5424240311430
634111543012
75354634134
oct1525447560
9517035308
10223760240
11105341420
1262b2aa68
1337486112
1421a093c4
151499e4e5
hexd564f70

223760240 has 80 divisors (see below), whose sum is σ = 574115040. Its totient is φ = 80424960.

The previous prime is 223760233. The next prime is 223760269. The reversal of 223760240 is 42067322.

It is a tau number, because it is divible by the number of its divisors (80).

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, 76892 + ... + 79748.

It is an arithmetic number, because the mean of its divisors is an integer number (7176438).

Almost surely, 2223760240 is an apocalyptic number.

223760240 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 223760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287057520).

223760240 is an abundant number, since it is smaller than the sum of its proper divisors (350354800).

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

223760240 is a wasteful number, since it uses less digits than its factorization.

223760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 223760240 is about 14958.6175831860. The cubic root of 223760240 is about 607.1010347069.

The spelling of 223760240 in words is "two hundred twenty-three million, seven hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 89 110 176 178 220 356 440 445 712 880 890 979 1424 1780 1958 2857 3560 3916 4895 5714 7120 7832 9790 11428 14285 15664 19580 22856 28570 31427 39160 45712 57140 62854 78320 114280 125708 157135 228560 251416 254273 314270 502832 508546 628540 1017092 1257080 1271365 2034184 2514160 2542730 2797003 4068368 5085460 5594006 10170920 11188012 13985015 20341840 22376024 27970030 44752048 55940060 111880120 223760240