Search a number
-
+
33221106 = 2322118747
BaseRepresentation
bin111111010111…
…0100111110010
32022111210210100
41332232213302
532001033411
63144013230
7552242352
oct176564762
968453710
1033221106
1117830566
12b161216
136b62179
1445aab62
152db3456
hex1fae9f2

33221106 has 24 divisors (see below), whose sum is σ = 72328464. Its totient is φ = 11019960.

The previous prime is 33221093. The next prime is 33221137. The reversal of 33221106 is 60112233.

It is a super-2 number, since 2×332211062 = 2207283767726472, which contains 22 as substring.

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

It is an unprimeable number.

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, 576 + ... + 8171.

It is an arithmetic number, because the mean of its divisors is an integer number (3013686).

Almost surely, 233221106 is an apocalyptic number.

33221106 is an abundant number, since it is smaller than the sum of its proper divisors (39107358).

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

33221106 is a wasteful number, since it uses less digits than its factorization.

33221106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 33221106 is about 5763.7753252534. The cubic root of 33221106 is about 321.4682077682.

Adding to 33221106 its reverse (60112233), we get a palindrome (93333339).

The spelling of 33221106 in words is "thirty-three million, two hundred twenty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 211 422 633 1266 1899 3798 8747 17494 26241 52482 78723 157446 1845617 3691234 5536851 11073702 16610553 33221106