Search a number
-
+
33221104 = 247476311
BaseRepresentation
bin111111010111…
…0100111110000
32022111210210021
41332232213300
532001033404
63144013224
7552242350
oct176564760
968453707
1033221104
1117830564
12b161214
136b62177
1445aab60
152db3454
hex1fae9f0

33221104 has 40 divisors (see below), whose sum is σ = 75138048. Its totient is φ = 13932480.

The previous prime is 33221093. The next prime is 33221137. The reversal of 33221104 is 40112233.

It is a happy number.

It is a super-2 number, since 2×332211042 = 2207283501957632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109 + ... + 8419.

Almost surely, 233221104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37569024).

33221104 is an abundant number, since it is smaller than the sum of its proper divisors (41916944).

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

33221104 is a wasteful number, since it uses less digits than its factorization.

33221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33221104 is about 5763.7751517560. The cubic root of 33221104 is about 321.4682013171.

Adding to 33221104 its reverse (40112233), we get a palindrome (73333337).

The spelling of 33221104 in words is "thirty-three million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 6311 12622 25244 44177 50488 88354 100976 176708 296617 353416 593234 706832 1186468 2076319 2372936 4152638 4745872 8305276 16610552 33221104