Search a number
-
+
33020622 = 234317643
BaseRepresentation
bin111110111110…
…1101011001110
32022010121210000
41331331223032
531423124442
63135425130
7550446015
oct175755316
968117700
1033020622
1117703978
12b0851a6
136ac1b3b
144557a7c
152d73d4c
hex1f7dace

33020622 has 40 divisors (see below), whose sum is σ = 74339496. Its totient is φ = 10955088.

The previous prime is 33020599. The next prime is 33020627. The reversal of 33020622 is 22602033.

It is a super-2 number, since 2×330206222 = 2180722954533768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33020595 and 33020604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020627) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51033 + ... + 51675.

Almost surely, 233020622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33020622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37169748).

33020622 is an abundant number, since it is smaller than the sum of its proper divisors (41318874).

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

33020622 is a wasteful number, since it uses less digits than its factorization.

33020622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33020622 is about 5746.3572809215. The cubic root of 33020622 is about 320.8202329989.

Adding to 33020622 its reverse (22602033), we get a palindrome (55622655).

The spelling of 33020622 in words is "thirty-three million, twenty thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 317 634 643 951 1286 1902 1929 2853 3858 5706 5787 8559 11574 17118 17361 25677 34722 51354 52083 104166 203831 407662 611493 1222986 1834479 3668958 5503437 11006874 16510311 33020622