Search a number
-
+
140223201105200 = 24522237583207307
BaseRepresentation
bin11111111000100001000010…
…000101110101010100110000
3200101111012120222111111011012
4133320201002011311110300
5121334404103440331300
61214121352125210052
741351535433262153
oct3770410205652460
9611435528444135
10140223201105200
114075236445a154
1213888242400928
136031cb6672095
14268aba6889c9a
1511327d9747435
hex7f8842175530

140223201105200 has 120 divisors (see below), whose sum is σ = 338443199582208. Its totient is φ = 55830126147840.

The previous prime is 140223201105193. The next prime is 140223201105233. The reversal of 140223201105200 is 2501102322041.

It is a super-2 number, since 2×1402232011052002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676299947 + ... + 676507253.

Almost surely, 2140223201105200 is an apocalyptic number.

140223201105200 is a gapful number since it is divisible by the number (10) 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 140223201105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169221599791104).

140223201105200 is an abundant number, since it is smaller than the sum of its proper divisors (198219998477008).

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

140223201105200 is a wasteful number, since it uses less digits than its factorization.

140223201105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215131 (or 215120 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 140223201105200 its reverse (2501102322041), we get a palindrome (142724303427241).

The spelling of 140223201105200 in words is "one hundred forty trillion, two hundred twenty-three billion, two hundred one million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 223 400 446 892 1115 1784 2230 3568 4460 5575 7583 8920 11150 15166 17840 22300 30332 37915 44600 60664 75830 89200 121328 151660 189575 207307 303320 379150 414614 606640 758300 829228 1036535 1516600 1658456 1691009 2073070 3033200 3316912 3382018 4146140 5182675 6764036 8292280 8455045 10365350 13528072 16584560 16910090 20730700 27056144 33820180 41461400 42275225 46229461 67640360 82922800 84550450 92458922 135280720 169100900 184917844 231147305 338201800 369835688 462294610 676403600 739671376 924589220 1155736525 1572008981 1849178440 2311473050 3144017962 3698356880 4622946100 6288035924 7860044905 9245892200 12576071848 15720089810 18491784400 25152143696 31440179620 39300224525 62880359240 78600449050 125760718480 157200898100 314401796200 350558002763 628803592400 701116005526 1402232011052 1752790013815 2804464022104 3505580027630 5608928044208 7011160055260 8763950069075 14022320110520 17527900138150 28044640221040 35055800276300 70111600552600 140223201105200