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216431490 = 235112109547
BaseRepresentation
bin11001110011001…
…11101110000010
3120002020212012010
430321213232002
5420401301430
633250513350
75235431412
oct1471475602
9502225163
10216431490
11101196200
1260595856
1335abb392
1420a5c642
1514002cb0
hexce67b82

216431490 has 96 divisors (see below), whose sum is σ = 577241280. Its totient is φ = 51891840.

The previous prime is 216431473. The next prime is 216431533. The reversal of 216431490 is 94134612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395397 + ... + 395943.

It is an arithmetic number, because the mean of its divisors is an integer number (6012930).

Almost surely, 2216431490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216431490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288620640).

216431490 is an abundant number, since it is smaller than the sum of its proper divisors (360809790).

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

216431490 is a wasteful number, since it uses less digits than its factorization.

216431490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 216431490 is about 14711.6107207878. The cubic root of 216431490 is about 600.3992620352.

The spelling of 216431490 in words is "two hundred sixteen million, four hundred thirty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 121 165 218 242 327 330 363 545 547 605 654 726 1090 1094 1199 1210 1635 1641 1815 2398 2735 3270 3282 3597 3630 5470 5995 6017 7194 8205 11990 12034 13189 16410 17985 18051 26378 30085 35970 36102 39567 59623 60170 65945 66187 79134 90255 119246 131890 132374 178869 180510 197835 198561 298115 330935 357738 395670 397122 596230 655853 661870 894345 992805 1311706 1788690 1967559 1985610 3279265 3935118 6558530 7214383 9837795 14428766 19675590 21643149 36071915 43286298 72143830 108215745 216431490