Search a number
-
+
210342223440 = 24335193504563
BaseRepresentation
bin1100001111100101011…
…1111001111001010000
3202002221010000001221000
43003321113321321100
511421240102122230
6240344015502000
721124322253636
oct3037127717120
9662833001830
10210342223440
11812297797a8
1234923227900
1316ab1b9c00b
14a275889356
1557113d1b60
hex30f95f9e50

210342223440 has 160 divisors (see below), whose sum is σ = 728267495040. Its totient is φ = 55800520704.

The previous prime is 210342223411. The next prime is 210342223447. The reversal of 210342223440 is 44322243012.

210342223440 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 422 + 234 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210342223447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164599 + ... + 669161.

It is an arithmetic number, because the mean of its divisors is an integer number (4551671844).

Almost surely, 2210342223440 is an apocalyptic number.

210342223440 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 210342223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364133747520).

210342223440 is an abundant number, since it is smaller than the sum of its proper divisors (517925271600).

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

210342223440 is a wasteful number, since it uses less digits than its factorization.

210342223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504778 (or 504766 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 210342223440 its reverse (44322243012), we get a palindrome (254664466452).

The spelling of 210342223440 in words is "two hundred ten billion, three hundred forty-two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 193 216 240 270 360 386 432 540 579 720 772 965 1080 1158 1544 1737 1930 2160 2316 2895 3088 3474 3860 4632 5211 5790 6948 7720 8685 9264 10422 11580 13896 15440 17370 20844 23160 26055 27792 34740 41688 46320 52110 69480 83376 104220 138960 208440 416880 504563 1009126 1513689 2018252 2522815 3027378 4036504 4541067 5045630 6054756 7568445 8073008 9082134 10091260 12109512 13623201 15136890 18164268 20182520 22705335 24219024 27246402 30273780 36328536 40365040 45410670 54492804 60547560 68116005 72657072 90821340 97380659 108985608 121095120 136232010 181642680 194761318 217971216 272464020 292141977 363285360 389522636 486903295 544928040 584283954 779045272 876425931 973806590 1089856080 1168567908 1460709885 1558090544 1752851862 1947613180 2337135816 2629277793 2921419770 3505703724 3895226360 4382129655 4674271632 5258555586 5842839540 7011407448 7790452720 8764259310 10517111172 11685679080 13146388965 14022814896 17528518620 21034222344 23371358160 26292777930 35057037240 42068444688 52585555860 70114074480 105171111720 210342223440