Search a number
-
+
216530440 = 23575314591
BaseRepresentation
bin11001110011111…
…11111000001000
3120002102212220221
430321333320020
5420412433230
633252555424
75236323040
oct1471777010
9502385827
10216530440
11101253585
1260622b74
1335b24429
1420a86720
151402227a
hexce7fe08

216530440 has 64 divisors (see below), whose sum is σ = 567336960. Its totient is φ = 72833280.

The previous prime is 216530359. The next prime is 216530449. The reversal of 216530440 is 44035612.

It is not an unprimeable number, because it can be changed into a prime (216530449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7545 + ... + 22135.

It is an arithmetic number, because the mean of its divisors is an integer number (8864640).

Almost surely, 2216530440 is an apocalyptic number.

216530440 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 216530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283668480).

216530440 is an abundant number, since it is smaller than the sum of its proper divisors (350806520).

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

216530440 is a wasteful number, since it uses less digits than its factorization.

216530440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14662 (or 14658 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 216530440 is about 14714.9733265134. The cubic root of 216530440 is about 600.4907466516.

The spelling of 216530440 in words is "two hundred sixteen million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14591 14840 29182 58364 72955 102137 116728 145910 204274 291820 408548 510685 583640 773323 817096 1021370 1546646 2042740 3093292 3866615 4085480 5413261 6186584 7733230 10826522 15466460 21653044 27066305 30932920 43306088 54132610 108265220 216530440