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2214114 = 237217443
BaseRepresentation
bin1000011100100011100010
311011111012020
420130203202
51031322424
6115242310
724551100
oct10344342
94144166
102214114
111282551
128a9396
135c6a36
14418c70
152db079
hex21c8e2

2214114 has 48 divisors (see below), whose sum is σ = 5466528. Its totient is φ = 594048.

The previous prime is 2214103. The next prime is 2214137. The reversal of 2214114 is 4114122.

It is a junction number, because it is equal to n+sod(n) for n = 2214093 and 2214102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4777 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (113886).

22214114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733264).

2214114 is an abundant number, since it is smaller than the sum of its proper divisors (3252414).

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

2214114 is a wasteful number, since it uses less digits than its factorization.

2214114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 2214114 is about 1487.9899193207. The cubic root of 2214114 is about 130.3366815306.

Adding to 2214114 its reverse (4114122), we get a palindrome (6328236).

It can be divided in two parts, 22141 and 14, that added together give a triangular number (22155 = T210).

The spelling of 2214114 in words is "two million, two hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 443 714 833 886 1329 1666 2499 2658 3101 4998 6202 7531 9303 15062 18606 21707 22593 43414 45186 52717 65121 105434 130242 158151 316302 369019 738038 1107057 2214114