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223340343000 = 23353673311057
BaseRepresentation
bin1101000000000000011…
…1110010111011011000
3210100110222020221220120
43100000013302323120
512124400111434000
6250333502353240
722064403410145
oct3200007627330
9710428227816
10223340343000
118679988a375
123735028b820
13180a3a62b18
14ab49c853cc
155c225b16a0
hex34001f2ed8

223340343000 has 128 divisors (see below), whose sum is σ = 696988393920. Its totient is φ = 59543193600.

The previous prime is 223340342993. The next prime is 223340343013. The reversal of 223340343000 is 343043322.

It is a super-2 number, since 2×2233403430002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20193472 + ... + 20204528.

Almost surely, 2223340343000 is an apocalyptic number.

223340343000 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 223340343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348494196960).

223340343000 is an abundant number, since it is smaller than the sum of its proper divisors (473648050920).

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

223340343000 is a wasteful number, since it uses less digits than its factorization.

223340343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17814 (or 17800 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 223340343000 its reverse (343043322), we get a palindrome (223683386322).

The spelling of 223340343000 in words is "two hundred twenty-three billion, three hundred forty million, three hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6733 11057 13466 20199 22114 26932 33171 33665 40398 44228 53864 55285 66342 67330 80796 88456 100995 110570 132684 134660 161592 165855 168325 201990 221140 265368 269320 276425 331710 336650 403980 442280 504975 552850 663420 673300 807960 829275 841625 1009950 1105700 1326840 1346600 1382125 1658550 1683250 2019900 2211400 2524875 2764250 3317100 3366500 4039800 4146375 5049750 5528500 6634200 6733000 8292750 10099500 11057000 16585500 20199000 33171000 74446781 148893562 223340343 297787124 372233905 446680686 595574248 744467810 893361372 1116701715 1488935620 1786722744 1861169525 2233403430 2977871240 3722339050 4466806860 5583508575 7444678100 8933613720 9305847625 11167017150 14889356200 18611695250 22334034300 27917542875 37223390500 44668068600 55835085750 74446781000 111670171500 223340343000