Search a number
-
+
13221450 = 23252112671
BaseRepresentation
bin110010011011…
…111001001010
3220212201102100
4302123321022
511341041300
61151214230
7220244334
oct62337112
926781370
1013221450
117510520
124517376
13297bc58
141a82454
151262700
hexc9be4a

13221450 has 72 divisors (see below), whose sum is σ = 38765376. Its totient is φ = 3204000.

The previous prime is 13221443. The next prime is 13221457. The reversal of 13221450 is 5412231.

It is an interprime number because it is at equal distance from previous prime (13221443) and next prime (13221457).

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

It is not an unprimeable number, because it can be changed into a prime (13221457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3615 + ... + 6285.

It is an arithmetic number, because the mean of its divisors is an integer number (538408).

Almost surely, 213221450 is an apocalyptic number.

13221450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382688).

13221450 is an abundant number, since it is smaller than the sum of its proper divisors (25543926).

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

13221450 is a wasteful number, since it uses less digits than its factorization.

13221450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13221450 is about 3636.1311857522. The cubic root of 13221450 is about 236.4610946049.

Adding to 13221450 its reverse (5412231), we get a palindrome (18633681).

It can be divided in two parts, 1322 and 1450, that added together give a palindrome (2772).

The spelling of 13221450 in words is "thirteen million, two hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 2671 4950 5342 8013 13355 16026 24039 26710 29381 40065 48078 58762 66775 80130 88143 120195 133550 146905 176286 200325 240390 264429 293810 400650 440715 528858 600975 734525 881430 1201950 1322145 1469050 2203575 2644290 4407150 6610725 13221450