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2214312 = 233257359
BaseRepresentation
bin1000011100100110101000
311011111110120
420130212220
51031324222
6115243240
724551502
oct10344650
94144416
102214312
111282711
128a9520
135c6b59
14418d72
152db15c
hex21c9a8

2214312 has 32 divisors (see below), whose sum is σ = 5572800. Its totient is φ = 733184.

The previous prime is 2214281. The next prime is 2214319. The reversal of 2214312 is 2134122.

Adding to 2214312 its reverse (2134122), we get a palindrome (4348434).

It can be divided in two parts, 22143 and 12, that added together give a triangular number (22155 = T210).

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

It is a junction number, because it is equal to n+sod(n) for n = 2214291 and 2214300.

It is not an unprimeable number, because it can be changed into a prime (2214319) 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, 5989 + ... + 6347.

It is an arithmetic number, because the mean of its divisors is an integer number (174150).

22214312 is an apocalyptic number.

It is an amenable number.

2214312 is an abundant number, since it is smaller than the sum of its proper divisors (3358488).

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

2214312 is a wasteful number, since it uses less digits than its factorization.

2214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 2214312 is about 1488.0564505421. The cubic root of 2214312 is about 130.3405665900.

The spelling of 2214312 in words is "two million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 257 359 514 718 771 1028 1077 1436 1542 2056 2154 2872 3084 4308 6168 8616 92263 184526 276789 369052 553578 738104 1107156 2214312