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2214168 = 233118387
BaseRepresentation
bin1000011100100100011000
311011111021020
420130210120
51031323133
6115242440
724551205
oct10344430
94144236
102214168
1112825a0
128a9420
135c6a78
14418cac
152db0b3
hex21c918

2214168 has 32 divisors (see below), whose sum is σ = 6039360. Its totient is φ = 670880.

The previous prime is 2214161. The next prime is 2214169. The reversal of 2214168 is 8614122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (2214161) 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, 3930 + ... + 4457.

It is an arithmetic number, because the mean of its divisors is an integer number (188730).

22214168 is an apocalyptic number.

It is an amenable number.

2214168 is an abundant number, since it is smaller than the sum of its proper divisors (3825192).

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

2214168 is a wasteful number, since it uses less digits than its factorization.

2214168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407 (or 8403 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2214168 is about 1488.0080644943. The cubic root of 2214168 is about 130.3377411152.

Subtracting from 2214168 its sum of digits (24), we obtain a square (2214144 = 14882).

The spelling of 2214168 in words is "two million, two hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 8387 16774 25161 33548 50322 67096 92257 100644 184514 201288 276771 369028 553542 738056 1107084 2214168