Search a number
-
+
223001002031010 = 235728312313048197
BaseRepresentation
bin110010101101000101110111…
…100000101011011110100010
31002020120200120020212021210220
4302231011313200223132202
5213212122023004443020
62110141125052103510
764654201500613650
oct6255056740533642
91066520506767726
10223001002031010
1165067215027865
1221017108464b96
139757b9a871268
143d0d43dc93dd0
151abab7b5ec240
hexcad17782b7a2

223001002031010 has 128 divisors (see below), whose sum is σ = 614320071450624. Its totient is φ = 50750268698880.

The previous prime is 223001002030999. The next prime is 223001002031029. The reversal of 223001002031010 is 10130200100322.

It is a super-2 number, since 2×2230010020310102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71634232 + ... + 74682428.

It is an arithmetic number, because the mean of its divisors is an integer number (4799375558208).

Almost surely, 2223001002031010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223001002031010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307160035725312).

223001002031010 is an abundant number, since it is smaller than the sum of its proper divisors (391319069419614).

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

223001002031010 is a wasteful number, since it uses less digits than its factorization.

223001002031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049728.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 223001002031010 its reverse (10130200100322), we get a palindrome (233131202131332).

The spelling of 223001002031010 in words is "two hundred twenty-three trillion, one billion, two million, thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 283 566 849 1231 1415 1698 1981 2462 2830 3693 3962 4245 5943 6155 7386 8490 8617 9905 11886 12310 17234 18465 19810 25851 29715 36930 43085 51702 59430 86170 129255 258510 348373 696746 1045119 1741865 2090238 2438611 3048197 3483730 4877222 5225595 6096394 7315833 9144591 10451190 12193055 14631666 15240985 18289182 21337379 24386110 30481970 36579165 42674758 45722955 64012137 73158330 91445910 106686895 128024274 213373790 320060685 640121370 862639751 1725279502 2587919253 3752330507 4313198755 5175838506 6038478257 7504661014 8626397510 11256991521 12076956514 12939596265 18115434771 18761652535 22513983042 25879192530 26266313549 30192391285 36230869542 37523305070 52532627098 56284957605 60384782570 78798940647 90577173855 112569915210 131331567745 157597881294 181154347710 262663135490 393994703235 787989406470 1061909533481 2123819066962 3185728600443 5309547667405 6371457200886 7433366734367 10619095334810 14866733468734 15928643002215 22300100203101 31857286004430 37166833671835 44600200406202 74333667343670 111500501015505 223001002031010