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2254014 = 23376789
BaseRepresentation
bin1000100110010010111110
311020111221000
420212102332
51034112024
6120151130
725105320
oct10462276
94214830
102254014
1112aa524
129084a6
1360bc49
14429610
152e7cc9
hex2264be

2254014 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 627264.

The previous prime is 2253997. The next prime is 2254033. The reversal of 2254014 is 4104522.

2254014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22540142 = 10161158224392, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25282 + ... + 25370.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22254014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2254014 is an abundant number, since it is smaller than the sum of its proper divisors (3621186).

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

2254014 is a wasteful number, since it uses less digits than its factorization.

2254014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2254014 is about 1501.3374037837. The cubic root of 2254014 is about 131.1149467953.

Adding to 2254014 its reverse (4104522), we get a palindrome (6358536).

It can be divided in two parts, 2 and 254014, that added together give a square (254016 = 5042).

The spelling of 2254014 in words is "two million, two hundred fifty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 89 126 134 178 189 201 267 378 402 469 534 603 623 801 938 1206 1246 1407 1602 1809 1869 2403 2814 3618 3738 4221 4806 5607 5963 8442 11214 11926 12663 16821 17889 25326 33642 35778 41741 53667 83482 107334 125223 161001 250446 322002 375669 751338 1127007 2254014