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223890240 = 2635733317
BaseRepresentation
bin11010101100001…
…00101101000000
3120121021210200010
431112010231000
5424303441430
634114424520
75356015140
oct1526045500
9517253603
10223890240
11105420062
1262b92140
1337500342
1421a40920
15149c7cb0
hexd584b40

223890240 has 112 divisors (see below), whose sum is σ = 812426112. Its totient is φ = 51173376.

The previous prime is 223890239. The next prime is 223890253. The reversal of 223890240 is 42098322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 223890198 and 223890207.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9939 + ... + 23378.

Almost surely, 2223890240 is an apocalyptic number.

223890240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223890240 is an abundant number, since it is smaller than the sum of its proper divisors (588535872).

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

223890240 is a wasteful number, since it uses less digits than its factorization.

223890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33344 (or 33334 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 223890240 is about 14962.9622735607. The cubic root of 223890240 is about 607.2185829291.

The spelling of 223890240 in words is "two hundred twenty-three million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 33317 66634 99951 133268 166585 199902 233219 266536 333170 399804 466438 499755 533072 666340 699657 799608 932876 999510 1066144 1166095 1332680 1399314 1599216 1865752 1999020 2132288 2332190 2665360 2798628 3198432 3498285 3731504 3998040 4664380 5330720 5597256 6396864 6996570 7463008 7996080 9328760 10661440 11194512 13993140 14926016 15992160 18657520 22389024 27986280 31984320 37315040 44778048 55972560 74630080 111945120 223890240