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2250414 = 2323137109
BaseRepresentation
bin1000100101011010101110
311020022222200
420211122232
51034003124
6120122330
725061655
oct10453256
94208880
102250414
1112a7851
129063a6
1360a40a
1442819c
152e6bc9
hex2256ae

2250414 has 48 divisors (see below), whose sum is σ = 5216640. Its totient is φ = 699840.

The previous prime is 2250403. The next prime is 2250419. The reversal of 2250414 is 4140522.

2250414 is a `hidden beast` number, since 2 + 250 + 414 = 666.

2250414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250419) 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, 20592 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (108680).

22250414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608320).

2250414 is an abundant number, since it is smaller than the sum of its proper divisors (2966226).

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

2250414 is a wasteful number, since it uses less digits than its factorization.

2250414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

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

The square root of 2250414 is about 1500.1379936526. The cubic root of 2250414 is about 131.0451061578.

Adding to 2250414 its reverse (4140522), we get a palindrome (6390936).

The spelling of 2250414 in words is "two million, two hundred fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 109 111 186 218 222 279 327 333 558 654 666 981 1147 1962 2294 3379 3441 4033 6758 6882 8066 10137 10323 12099 20274 20646 24198 30411 36297 60822 72594 125023 250046 375069 750138 1125207 2250414