Search a number
-
+
33224900 = 2252834003
BaseRepresentation
bin111111010111…
…1100011000100
32022111222222212
41332233203010
532001144100
63144042552
7552256412
oct176574304
968458885
1033224900
11178333a5
12b163458
136b63b07
1445ac2b2
152db4635
hex1faf8c4

33224900 has 36 divisors (see below), whose sum is σ = 72984912. Its totient is φ = 13126560.

The previous prime is 33224897. The next prime is 33224909. The reversal of 33224900 is 942233.

It is a super-2 number, since 2×332249002 = 2207787960020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33224909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6299 + ... + 10301.

Almost surely, 233224900 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 33224900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36492456).

33224900 is an abundant number, since it is smaller than the sum of its proper divisors (39760012).

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

33224900 is a wasteful number, since it uses less digits than its factorization.

33224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 33224900 is about 5764.1044404140. The cubic root of 33224900 is about 321.4804450083.

The spelling of 33224900 in words is "thirty-three million, two hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4003 4150 8006 8300 16012 20015 40030 80060 100075 200150 332249 400300 664498 1328996 1661245 3322490 6644980 8306225 16612450 33224900