Search a number
-
+
216654872 = 23721921531
BaseRepresentation
bin11001110100111…
…10010000011000
3120002200012121112
430322132100120
5420430423442
633255355452
75240351600
oct1472362030
9502605545
10216654872
11101329015
1260682b88
1335b68c65
1420ab9c00
1514049082
hexce9e418

216654872 has 72 divisors (see below), whose sum is σ = 499056660. Its totient is φ = 87907680.

The previous prime is 216654863. The next prime is 216654883. The reversal of 216654872 is 278456612.

216654872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2166548722 = 93878667122672768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 140747 + ... + 142277.

Almost surely, 2216654872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216654872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249528330).

216654872 is an abundant number, since it is smaller than the sum of its proper divisors (282401788).

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

216654872 is a wasteful number, since it uses less digits than its factorization.

216654872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1559 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 216654872 is about 14719.2007935214. The cubic root of 216654872 is about 600.6057511996.

The spelling of 216654872 in words is "two hundred sixteen million, six hundred fifty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 361 392 532 722 931 1064 1444 1531 1862 2527 2888 3062 3724 5054 6124 7448 10108 10717 12248 17689 20216 21434 29089 35378 42868 58178 70756 75019 85736 116356 141512 150038 203623 232712 300076 407246 552691 600152 814492 1105382 1425361 1628984 2210764 2850722 3868837 4421528 5701444 7737674 11402888 15475348 27081859 30950696 54163718 108327436 216654872