Search a number
-
+
21233142 = 2327433919
BaseRepresentation
bin101000011111…
…1110111110110
31110221202101200
41100333313312
520413430032
62035033330
7345323130
oct120776766
943852350
1021233142
1110a92857
12713b846
1345257b8
142b6a050
151ce647c
hex143fdf6

21233142 has 48 divisors (see below), whose sum is σ = 53813760. Its totient is φ = 5924016.

The previous prime is 21233131. The next prime is 21233161. The reversal of 21233142 is 24133212.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3459 + ... + 7377.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 221233142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26906880).

21233142 is an abundant number, since it is smaller than the sum of its proper divisors (32580618).

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

21233142 is a wasteful number, since it uses less digits than its factorization.

21233142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3974 counting only the distinct ones).

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

The square root of 21233142 is about 4607.9433590269. The cubic root of 21233142 is about 276.9096483161.

Adding to 21233142 its reverse (24133212), we get a palindrome (45366354).

The spelling of 21233142 in words is "twenty-one million, two hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 3919 5418 7838 11757 23514 27433 35271 54866 70542 82299 164598 168517 246897 337034 493794 505551 1011102 1179619 1516653 2359238 3033306 3538857 7077714 10616571 21233142