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2231442 = 23331243
BaseRepresentation
bin1000100000110010010010
311012100222000
420200302102
51032401232
6115454430
724652443
oct10406222
94170860
102231442
111294574
128b7416
136018a5
144212ca
152e127c
hex220c92

2231442 has 48 divisors (see below), whose sum is σ = 5243040. Its totient is φ = 703080.

The previous prime is 2231431. The next prime is 2231447. The reversal of 2231442 is 2441322.

2231442 is a `hidden beast` number, since 223 + 1 + 442 = 666.

It is a super-3 number, since 3×22314423 = 33333281038030808664, which contains 333 as substring.

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

It is a d-powerful number, because it can be written as 2 + 217 + 37 + 1 + 4 + 45 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2231447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51873 + ... + 51915.

It is an arithmetic number, because the mean of its divisors is an integer number (109230).

22231442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621520).

2231442 is an abundant number, since it is smaller than the sum of its proper divisors (3011598).

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

2231442 is a wasteful number, since it uses less digits than its factorization.

2231442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2231442 is about 1493.8011915914. The cubic root of 2231442 is about 130.6758100756.

Adding to 2231442 its reverse (2441322), we get a palindrome (4672764).

The spelling of 2231442 in words is "two million, two hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 86 93 129 186 258 279 387 558 774 837 961 1161 1333 1674 1922 2322 2666 2883 3999 5766 7998 8649 11997 17298 23994 25947 35991 41323 51894 71982 82646 123969 247938 371907 743814 1115721 2231442