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240442230 = 23572367743
BaseRepresentation
bin11100101010011…
…01101101110110
3121202102201201210
432111031231312
5443023122410
635505302250
75646503520
oct1625155566
9552381653
10240442230
111137a5896
1268634986
133aa77212
1423d0ca10
1516197220
hexe54db76

240442230 has 128 divisors (see below), whose sum is σ = 699383808. Its totient is φ = 51714432.

The previous prime is 240442229. The next prime is 240442289. The reversal of 240442230 is 32244042.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 240442197 and 240442206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323239 + ... + 323981.

It is an arithmetic number, because the mean of its divisors is an integer number (5463936).

Almost surely, 2240442230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240442230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349691904).

240442230 is an abundant number, since it is smaller than the sum of its proper divisors (458941578).

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

240442230 is a wasteful number, since it uses less digits than its factorization.

240442230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 240442230 is about 15506.1997278508. The cubic root of 240442230 is about 621.8279646084.

Adding to 240442230 its reverse (32244042), we get a palindrome (272686272).

The spelling of 240442230 in words is "two hundred forty million, four hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 67 69 70 105 115 134 138 161 201 210 230 322 335 345 402 469 483 670 690 743 805 938 966 1005 1407 1486 1541 1610 2010 2229 2345 2415 2814 3082 3715 4458 4623 4690 4830 5201 7035 7430 7705 9246 10402 10787 11145 14070 15410 15603 17089 21574 22290 23115 26005 31206 32361 34178 46230 49781 51267 52010 53935 64722 78015 85445 99562 102534 107870 119623 149343 156030 161805 170890 239246 248905 256335 298686 323610 348467 358869 497810 512670 598115 696934 717738 746715 1045401 1144963 1196230 1493430 1742335 1794345 2090802 2289926 3434889 3484670 3588690 5227005 5724815 6869778 8014741 10454010 11449630 16029482 17174445 24044223 34348890 40073705 48088446 80147410 120221115 240442230