Search a number
-
+
223241043300 = 22352113559081
BaseRepresentation
bin1100111111101000110…
…0111111110101100100
3210100020001102000022220
43033322030333311210
512124144201341200
6250315554152340
722062056362512
oct3177214776544
9710201360286
10223241043300
1186748827000
1237322b826b0
1318089305cc2
14ab3a9d74b2
155c189e94a0
hex33fa33fd64

223241043300 has 144 divisors (see below), whose sum is σ = 710454569664. Its totient is φ = 54118944000.

The previous prime is 223241043271. The next prime is 223241043301. The reversal of 223241043300 is 3340142322.

It is a super-3 number, since 3×2232410433003 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223241043301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119760 + ... + 678840.

Almost surely, 2223241043300 is an apocalyptic number.

223241043300 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 223241043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355227284832).

223241043300 is an abundant number, since it is smaller than the sum of its proper divisors (487213526364).

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

223241043300 is a wasteful number, since it uses less digits than its factorization.

223241043300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559131 (or 559102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223241043300 its reverse (3340142322), we get a palindrome (226581185622).

The spelling of 223241043300 in words is "two hundred twenty-three billion, two hundred forty-one million, forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1331 1452 1650 1815 2420 2662 3025 3300 3630 3993 5324 6050 6655 7260 7986 9075 12100 13310 15972 18150 19965 26620 33275 36300 39930 66550 79860 99825 133100 199650 399300 559081 1118162 1677243 2236324 2795405 3354486 5590810 6149891 6708972 8386215 11181620 12299782 13977025 16772430 18449673 24599564 27954050 30749455 33544860 36899346 41931075 55908100 61498910 67648801 73798692 83862150 92248365 122997820 135297602 153747275 167724300 184496730 202946403 270595204 307494550 338244005 368993460 405892806 461241825 614989100 676488010 744136811 811785612 922483650 1014732015 1352976020 1488273622 1691220025 1844967300 2029464030 2232410433 2976547244 3382440050 3720684055 4058928060 4464820866 5073660075 6764880100 7441368110 8929641732 10147320150 11162052165 14882736220 18603420275 20294640300 22324104330 37206840550 44648208660 55810260825 74413681100 111620521650 223241043300