Search a number
-
+
2214984 = 233412251
BaseRepresentation
bin1000011100110001001000
311011112101110
420130301020
51031334414
6115250320
724553452
oct10346110
94145343
102214984
111283172
128a99a0
135c7255
144192d2
152db459
hex21cc48

2214984 has 32 divisors (see below), whose sum is σ = 5675040. Its totient is φ = 720000.

The previous prime is 2214983. The next prime is 2214997. The reversal of 2214984 is 4894122.

It is not an unprimeable number, because it can be changed into a prime (2214983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (177345).

22214984 is an apocalyptic number.

2214984 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 2214984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837520).

2214984 is an abundant number, since it is smaller than the sum of its proper divisors (3460056).

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

2214984 is a wasteful number, since it uses less digits than its factorization.

2214984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2297 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2214984 is about 1488.2822312989. The cubic root of 2214984 is about 130.3537505198.

It can be divided in two parts, 2214 and 984, that multiplied together give a square (2178576 = 14762).

The spelling of 2214984 in words is "two million, two hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 2251 4502 6753 9004 13506 18008 27012 54024 92291 184582 276873 369164 553746 738328 1107492 2214984