Search a number
-
+
33500106 = 23213114207
BaseRepresentation
bin111111111001…
…0101111001010
32100000222111200
41333302233022
532034000411
63154005030
7554513643
oct177625712
970028450
1033500106
1117a01142
12b276776
136c2c163
1446406ca
152e1ae56
hex1ff2bca

33500106 has 24 divisors (see below), whose sum is σ = 73142784. Its totient is φ = 11080680.

The previous prime is 33500101. The next prime is 33500107. The reversal of 33500106 is 60100533.

It is a super-2 number, since 2×335001062 = 2244514204022472, which contains 22 as substring.

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 (33500101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4746 + ... + 9461.

It is an arithmetic number, because the mean of its divisors is an integer number (3047616).

Almost surely, 233500106 is an apocalyptic number.

33500106 is an abundant number, since it is smaller than the sum of its proper divisors (39642678).

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

33500106 is a wasteful number, since it uses less digits than its factorization.

33500106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14346 (or 14343 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 33500106 is about 5787.9276083932. The cubic root of 33500106 is about 322.3656263702.

Adding to 33500106 its reverse (60100533), we get a palindrome (93600639).

The spelling of 33500106 in words is "thirty-three million, five hundred thousand, one hundred six".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 14207 28414 42621 85242 127863 255726 1861117 3722234 5583351 11166702 16750053 33500106