Search a number
-
+
22033260 = 223251091123
BaseRepresentation
bin101010000001…
…1001101101100
31112110101221200
41110003031230
521120031020
62104125500
7355164624
oct124031554
945411850
1022033260
1111489a07
127466890
134745a42
142cd7884
151e03590
hex150336c

22033260 has 72 divisors (see below), whose sum is σ = 67507440. Its totient is φ = 5816448.

The previous prime is 22033237. The next prime is 22033267. The reversal of 22033260 is 6233022.

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 (22033267) 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, 19059 + ... + 20181.

Almost surely, 222033260 is an apocalyptic number.

22033260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22033260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33753720).

22033260 is an abundant number, since it is smaller than the sum of its proper divisors (45474180).

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

22033260 is a wasteful number, since it uses less digits than its factorization.

22033260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 22033260 is about 4693.9599487000. The cubic root of 22033260 is about 280.3450677663.

Adding to 22033260 its reverse (6233022), we get a palindrome (28266282).

The spelling of 22033260 in words is "twenty-two million, thirty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1123 1308 1635 1962 2180 2246 3270 3369 3924 4492 4905 5615 6540 6738 9810 10107 11230 13476 16845 19620 20214 22460 33690 40428 50535 67380 101070 122407 202140 244814 367221 489628 612035 734442 1101663 1224070 1468884 1836105 2203326 2448140 3672210 4406652 5508315 7344420 11016630 22033260