Search a number
-
+
216663160 = 23573172441
BaseRepresentation
bin11001110101000…
…00010001111000
3120002200121222111
430322200101320
5420431210120
633255502104
75240415010
oct1472402170
9502617874
10216663160
1110133426a
1260687934
1335b6c96c
1420abcc40
151404b75a
hexcea0478

216663160 has 64 divisors (see below), whose sum is σ = 559120320. Its totient is φ = 74019840.

The previous prime is 216663133. The next prime is 216663169. The reversal of 216663160 is 61366612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216663169) 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, 87540 + ... + 89980.

It is an arithmetic number, because the mean of its divisors is an integer number (8736255).

Almost surely, 2216663160 is an apocalyptic number.

216663160 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 216663160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279560160).

216663160 is an abundant number, since it is smaller than the sum of its proper divisors (342457160).

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

216663160 is a wasteful number, since it uses less digits than its factorization.

216663160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 216663160 is about 14719.4823278538. The cubic root of 216663160 is about 600.6134097042.

The spelling of 216663160 in words is "two hundred sixteen million, six hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 317 634 1268 1585 2219 2441 2536 3170 4438 4882 6340 8876 9764 11095 12205 12680 17087 17752 19528 22190 24410 34174 44380 48820 68348 85435 88760 97640 136696 170870 341740 683480 773797 1547594 3095188 3868985 5416579 6190376 7737970 10833158 15475940 21666316 27082895 30951880 43332632 54165790 108331580 216663160