Search a number
-
+
33113322 = 23211414079
BaseRepresentation
bin111111001010…
…0010011101010
32022022022221100
41332110103222
531434111242
63141422230
7551313204
oct176242352
968268840
1033113322
1117767590
12b10a976
136b250a8
14457d774
152d9154c
hex1f944ea

33113322 has 48 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 9787200.

The previous prime is 33113303. The next prime is 33113323. The reversal of 33113322 is 22331133.

33113322 is a `hidden beast` number, since 331 + 1 + 332 + 2 = 666.

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

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 33113295 and 33113304.

It is not an unprimeable number, because it can be changed into a prime (33113323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6079 + ... + 10157.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 233113322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33113322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

33113322 is an abundant number, since it is smaller than the sum of its proper divisors (47083158).

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

33113322 is a wasteful number, since it uses less digits than its factorization.

33113322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4136 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 33113322 is about 5754.4176073691. The cubic root of 33113322 is about 321.1201692915.

Adding to 33113322 its reverse (22331133), we get a palindrome (55444455).

The spelling of 33113322 in words is "thirty-three million, one hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 4079 8118 8158 12237 24474 36711 44869 73422 89738 134607 167239 269214 334478 403821 501717 807642 1003434 1505151 1839629 3010302 3679258 5518887 11037774 16556661 33113322