Search a number
-
+
2214966 = 231373389
BaseRepresentation
bin1000011100110000110110
311011112100210
420130300312
51031334331
6115250250
724553425
oct10346066
94145323
102214966
111283156
128a9986
135c7240
144192bc
152db446
hex21cc36

2214966 has 32 divisors (see below), whose sum is σ = 4848480. Its totient is φ = 670464.

The previous prime is 2214959. The next prime is 2214967. The reversal of 2214966 is 6694122.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214967) 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, 5500 + ... + 5888.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

22214966 is an apocalyptic number.

2214966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424240).

2214966 is an abundant number, since it is smaller than the sum of its proper divisors (2633514).

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

2214966 is a wasteful number, since it uses less digits than its factorization.

2214966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480.

The product of its digits is 5184, while the sum is 30.

The square root of 2214966 is about 1488.2761840465. The cubic root of 2214966 is about 130.3533974136.

The spelling of 2214966 in words is "two million, two hundred fourteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 389 438 778 949 1167 1898 2334 2847 5057 5694 10114 15171 28397 30342 56794 85191 170382 369161 738322 1107483 2214966