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223033124040 = 2335107106916249
BaseRepresentation
bin1100111110110111001…
…1110110010011001000
3210022200120011121201120
43033231303312103020
512123232434432130
6250243205515240
722053653163066
oct3175563662310
9708616147646
10223033124040
1186651425201
1237285412b20
131805520825c
14ab1b153036
155c05628910
hex33edcf64c8

223033124040 has 128 divisors (see below), whose sum is σ = 676026000000. Its totient is φ = 58860914688.

The previous prime is 223033124033. The next prime is 223033124047. The reversal of 223033124040 is 40421330322.

223033124040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223033124033) and next prime (223033124047).

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

It is a self number, because there is not a number n which added to its sum of digits gives 223033124040.

It is not an unprimeable number, because it can be changed into a prime (223033124047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13717836 + ... + 13734084.

It is an arithmetic number, because the mean of its divisors is an integer number (5281453125).

Almost surely, 2223033124040 is an apocalyptic number.

223033124040 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 223033124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338013000000).

223033124040 is an abundant number, since it is smaller than the sum of its proper divisors (452992875960).

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

223033124040 is a wasteful number, since it uses less digits than its factorization.

223033124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17439 (or 17435 counting only the distinct ones).

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

Adding to 223033124040 its reverse (40421330322), we get a palindrome (263454454362).

The spelling of 223033124040 in words is "two hundred twenty-three billion, thirty-three million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1069 1070 1284 1605 2138 2140 2568 3207 3210 4276 4280 5345 6414 6420 8552 10690 12828 12840 16035 16249 21380 25656 32070 32498 42760 48747 64140 64996 81245 97494 114383 128280 129992 162490 194988 228766 243735 324980 343149 389976 457532 487470 571915 649960 686298 915064 974940 1143830 1372596 1715745 1738643 1949880 2287660 2745192 3431490 3477286 4575320 5215929 6862980 6954572 8693215 10431858 13725960 13909144 17370181 17386430 20863716 26079645 34740362 34772860 41727432 52110543 52159290 69480724 69545720 86850905 104221086 104318580 138961448 173701810 208442172 208637160 260552715 347403620 416884344 521105430 694807240 1042210860 1858609367 2084421720 3717218734 5575828101 7434437468 9293046835 11151656202 14868874936 18586093670 22303312404 27879140505 37172187340 44606624808 55758281010 74344374680 111516562020 223033124040