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133423224 = 233114710753
BaseRepresentation
bin1111111001111…
…10000001111000
3100022001121020220
413330332001320
5233124020344
621123420040
73210035664
oct774760170
9308047226
10133423224
116934a930
1238824620
132184696c
1413a118a4
15baa7c19
hex7f3e078

133423224 has 64 divisors (see below), whose sum is σ = 371658240. Its totient is φ = 39567360.

The previous prime is 133423211. The next prime is 133423267. The reversal of 133423224 is 422324331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133423194 and 133423203.

It is a congruent number.

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, 7032 + ... + 17784.

It is an arithmetic number, because the mean of its divisors is an integer number (5807160).

Almost surely, 2133423224 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 133423224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185829120).

133423224 is an abundant number, since it is smaller than the sum of its proper divisors (238235016).

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

133423224 is a wasteful number, since it uses less digits than its factorization.

133423224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10820 (or 10816 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 133423224 is about 11550.8971080172. The cubic root of 133423224 is about 510.9877359148.

Adding to 133423224 its reverse (422324331), we get a palindrome (555747555).

The spelling of 133423224 in words is "one hundred thirty-three million, four hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 10753 12408 21506 32259 43012 64518 86024 118283 129036 236566 258072 354849 473132 505391 709698 946264 1010782 1419396 1516173 2021564 2838792 3032346 4043128 5559301 6064692 11118602 12129384 16677903 22237204 33355806 44474408 66711612 133423224