Search a number
-
+
33122334 = 2372113997
BaseRepresentation
bin111111001011…
…0100000011110
32022022210022010
41332112200132
531434403314
63141532050
7551351400
oct176264036
968283263
1033122334
1117773333
12b114026
136b2921b
144582b70
152d94059
hex1f9681e

33122334 has 48 divisors (see below), whose sum is σ = 77820048. Its totient is φ = 9370368.

The previous prime is 33122311. The next prime is 33122347. The reversal of 33122334 is 43322133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 33122334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32724 + ... + 33720.

It is an arithmetic number, because the mean of its divisors is an integer number (1621251).

Almost surely, 233122334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33122334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38910024).

33122334 is an abundant number, since it is smaller than the sum of its proper divisors (44697714).

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

33122334 is a wasteful number, since it uses less digits than its factorization.

33122334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1122 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 33122334 is about 5755.2006046705. The cubic root of 33122334 is about 321.1492982775.

Adding to 33122334 its reverse (43322133), we get a palindrome (76444467).

The spelling of 33122334 in words is "thirty-three million, one hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 294 339 678 791 997 1582 1994 2373 2991 4746 5537 5982 6979 11074 13958 16611 20937 33222 41874 48853 97706 112661 146559 225322 293118 337983 675966 788627 1577254 2365881 4731762 5520389 11040778 16561167 33122334