Search a number
-
+
2214864 = 24341709
BaseRepresentation
bin1000011100101111010000
311011112020000
420130233100
51031333424
6115250000
724553221
oct10345720
94145200
102214864
111283073
128a9900
135c7192
14419248
152db3c9
hex21cbd0

2214864 has 50 divisors (see below), whose sum is σ = 6414210. Its totient is φ = 737856.

The previous prime is 2214847. The next prime is 2214869. The reversal of 2214864 is 4684122.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 627264 = 1260^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214869) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 442 + ... + 2150.

22214864 is an apocalyptic number.

2214864 is a gapful number since it is divisible by the number (24) 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 2214864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207105).

2214864 is an abundant number, since it is smaller than the sum of its proper divisors (4199346).

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

2214864 is a wasteful number, since it uses less digits than its factorization.

2214864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1714 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2214864 is about 1488.2419158188. The cubic root of 2214864 is about 130.3513964422.

Adding to 2214864 its reverse (4684122), we get a palindrome (6898986).

The spelling of 2214864 in words is "two million, two hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1709 3418 5127 6836 10254 13672 15381 20508 27344 30762 41016 46143 61524 82032 92286 123048 138429 184572 246096 276858 369144 553716 738288 1107432 2214864