33413220 has 144 divisors (see below), whose sum is σ = 108304560. Its totient is φ = 8322048.

The previous prime is 33413209. The next prime is 33413221. The reversal of 33413220 is 2231433.

33413220 is a `hidden beast` number, since 3 + 341 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5280804 + 28132416 = 2298^2 + 5304^2 .

It is a super-2 number, since 2×33413220² = 2232886541536800, 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 = 33413193 and 33413202.

It is not an unprimeable number, because it can be changed into a prime (33413221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193054 + ... + 193226.

It is an arithmetic number, because the mean of its divisors is an integer number (752115).

Almost surely, 2^33413220 is an apocalyptic number.

33413220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54152280).

33413220 is an abundant number, since it is smaller than the sum of its proper divisors (74891340).

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

33413220 is a wasteful number, since it uses less digits than its factorization.

33413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

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

The square root of 33413220 is about 5780.4169399793. The cubic root of 33413220 is about 322.0866888491.

Adding to 33413220 its reverse (2231433), we get a palindrome (35644653).

It can be divided in two parts, 33413 and 220, that added together give a palindrome (33633).

The spelling of 33413220 in words is "thirty-three million, four hundred thirteen thousand, two hundred twenty".