Search a number
-
+
133220424 = 23337712113
BaseRepresentation
bin1111111000011…
…00100001001000
3100021200022001210
413330030201020
5233101023144
621115213120
73205232511
oct774144110
9307608053
10133220424
1169221527
12387471a0
13217a556c
141399ba08
15ba67ab9
hex7f0c848

133220424 has 64 divisors (see below), whose sum is σ = 347034240. Its totient is φ = 42577920.

The previous prime is 133220413. The next prime is 133220459. The reversal of 133220424 is 424022331.

It is a self number, because there is not a number n which added to its sum of digits gives 133220424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61992 + ... + 64104.

It is an arithmetic number, because the mean of its divisors is an integer number (5422410).

Almost surely, 2133220424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173517120).

133220424 is an abundant number, since it is smaller than the sum of its proper divisors (213813816).

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

133220424 is a wasteful number, since it uses less digits than its factorization.

133220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 133220424 is about 11542.1152307538. The cubic root of 133220424 is about 510.7287083925.

Adding to 133220424 its reverse (424022331), we get a palindrome (557242755).

The spelling of 133220424 in words is "one hundred thirty-three million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 284 296 426 444 568 852 888 1704 2113 2627 4226 5254 6339 7881 8452 10508 12678 15762 16904 21016 25356 31524 50712 63048 78181 150023 156362 234543 300046 312724 450069 469086 600092 625448 900138 938172 1200184 1800276 1876344 3600552 5550851 11101702 16652553 22203404 33305106 44406808 66610212 133220424