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223863990 = 23571773859
BaseRepresentation
bin11010101011111…
…10010010110110
3120121020110122220
431111332102312
5424302121430
634114103210
75355545460
oct1525762266
9517213586
10223863990
11105402369
1262b7ab06
13374c13cc
1421a35130
15149c0110
hexd57e4b6

223863990 has 128 divisors (see below), whose sum is σ = 659819520. Its totient is φ = 47443968.

The previous prime is 223863971. The next prime is 223864019. The reversal of 223863990 is 99368322.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260181 + ... + 261039.

It is an arithmetic number, because the mean of its divisors is an integer number (5154840).

Almost surely, 2223863990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223863990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329909760).

223863990 is an abundant number, since it is smaller than the sum of its proper divisors (435955530).

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

223863990 is a wasteful number, since it uses less digits than its factorization.

223863990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966.

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 223863990 is about 14962.0850819664. The cubic root of 223863990 is about 607.1948508974.

The spelling of 223863990 in words is "two hundred twenty-three million, eight hundred sixty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 73 85 102 105 119 146 170 210 219 238 255 357 365 438 510 511 595 714 730 859 1022 1095 1190 1241 1533 1718 1785 2190 2482 2555 2577 3066 3570 3723 4295 5110 5154 6013 6205 7446 7665 8590 8687 12026 12410 12885 14603 15330 17374 18039 18615 25770 26061 29206 30065 36078 37230 43435 43809 52122 60130 62707 73015 86870 87618 90195 102221 125414 130305 146030 180390 188121 204442 219045 260610 306663 313535 376242 438090 438949 511105 613326 627070 877898 940605 1022210 1066019 1316847 1533315 1881210 2132038 2194745 2633694 3066630 3198057 4389490 5330095 6396114 6584235 7462133 10660190 13168470 14924266 15990285 22386399 31980570 37310665 44772798 74621330 111931995 223863990