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223342024000 = 2653197914107
BaseRepresentation
bin1101000000000000111…
…0001101010101000000
3210100111002102100210211
43100000032031111000
512124401024232000
6250334002403504
722064423611054
oct3200016152500
9710432370724
10223342024000
118679a828327
1237350960594
13180a4200cb4
14ab4a1a1c64
155c227e47ba
hex340038d540

223342024000 has 112 divisors (see below), whose sum is σ = 553425238080. Its totient is φ = 89285337600.

The previous prime is 223342023959. The next prime is 223342024039. The reversal of 223342024000 is 420243322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15824947 + ... + 15839053.

Almost surely, 2223342024000 is an apocalyptic number.

223342024000 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 223342024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276712619040).

223342024000 is an abundant number, since it is smaller than the sum of its proper divisors (330083214080).

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

223342024000 is a wasteful number, since it uses less digits than its factorization.

223342024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16113 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 223342024000 its reverse (420243322), we get a palindrome (223762267322).

The spelling of 223342024000 in words is "two hundred twenty-three billion, three hundred forty-two million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 1979 2000 3958 4000 7916 8000 9895 14107 15832 19790 28214 31664 39580 49475 56428 63328 70535 79160 98950 112856 126656 141070 158320 197900 225712 247375 282140 316640 352675 395800 451424 494750 564280 633280 705350 791600 902848 989500 1128560 1410700 1583200 1763375 1979000 2257120 2821400 3166400 3526750 3958000 4514240 5642800 7053500 7916000 11285600 14107000 15832000 22571200 27917753 28214000 55835506 56428000 111671012 112856000 139588765 223342024 279177530 446684048 558355060 697943825 893368096 1116710120 1395887650 1786736192 2233420240 2791775300 3489719125 4466840480 5583550600 6979438250 8933680960 11167101200 13958876500 22334202400 27917753000 44668404800 55835506000 111671012000 223342024000