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2214630 = 2325112237
BaseRepresentation
bin1000011100101011100110
311011111220100
420130223212
51031332010
6115244530
724552435
oct10345346
94144810
102214630
111282980
128a9746
135c7042
1441911c
152db2c0
hex21cae6

2214630 has 48 divisors (see below), whose sum is σ = 6284304. Its totient is φ = 536640.

The previous prime is 2214623. The next prime is 2214637. The reversal of 2214630 is 364122.

It is a happy number.

2214630 is a `hidden beast` number, since 22 + 14 + 630 = 666.

2214630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2214623) and next prime (2214637).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (130923).

22214630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142152).

2214630 is an abundant number, since it is smaller than the sum of its proper divisors (4069674).

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

2214630 is a wasteful number, since it uses less digits than its factorization.

2214630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2214630 is about 1488.1632974912. The cubic root of 2214630 is about 130.3468057464.

Adding to 2214630 its reverse (364122), we get a palindrome (2578752).

It can be divided in two parts, 221 and 4630, that added together give a triangular number (4851 = T98).

The spelling of 2214630 in words is "two million, two hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2237 4474 6711 11185 13422 20133 22370 24607 33555 40266 49214 67110 73821 100665 123035 147642 201330 221463 246070 369105 442926 738210 1107315 2214630