Search a number
-
+
475000218 = 2327211173283
BaseRepresentation
bin11100010011111…
…110110110011010
31020002210111210200
4130103332312122
51433100001333
6115044523030
714525302200
oct3423766632
91202714720
10475000218
11224141770
121130b0476
1377541024
1447129070
152ba7ac13
hex1c4fed9a

475000218 has 144 divisors (see below), whose sum is σ = 1318221216. Its totient is φ = 122230080.

The previous prime is 475000217. The next prime is 475000237. The reversal of 475000218 is 812000574.

It is a junction number, because it is equal to n+sod(n) for n = 475000191 and 475000200.

It is not an unprimeable number, because it can be changed into a prime (475000217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1678305 + ... + 1678587.

It is an arithmetic number, because the mean of its divisors is an integer number (9154314).

Almost surely, 2475000218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475000218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659110608).

475000218 is an abundant number, since it is smaller than the sum of its proper divisors (843220998).

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

475000218 is a wasteful number, since it uses less digits than its factorization.

475000218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 475000218 is about 21794.4997189658. The cubic root of 475000218 is about 780.2454947178.

The spelling of 475000218 in words is "four hundred seventy-five million, two hundred eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 173 198 231 283 294 346 441 462 519 539 566 693 849 882 1038 1078 1211 1386 1557 1617 1698 1903 1981 2422 2547 3113 3114 3234 3633 3806 3962 4851 5094 5709 5943 6226 7266 8477 9339 9702 10899 11418 11886 13321 13867 16954 17127 17829 18678 21791 21798 25431 26642 27734 28017 34254 35658 39963 41601 43582 48959 50862 56034 65373 76293 79926 83202 93247 97918 119889 124803 130746 146877 152537 152586 186494 196119 239778 249606 279741 293754 305074 342713 392238 440631 457611 538549 559482 685426 839223 881262 915222 1028139 1077098 1372833 1615647 1678446 2056278 2398991 2745666 3084417 3231294 3769843 4797982 4846941 6168834 7196973 7539686 9693882 11309529 14393946 21590919 22619058 26388901 33928587 43181838 52777802 67857174 79166703 158333406 237500109 475000218