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33480216 = 2334711261
BaseRepresentation
bin111111110110…
…1111000011000
32022222222020000
41333231320120
532032331331
63153333000
7554401650
oct177557030
968888200
1033480216
1117998200
12b267160
136c230a3
144637360
152e150e6
hex1fede18

33480216 has 240 divisors, whose sum is σ = 119731920. Its totient is φ = 8553600.

The previous prime is 33480179. The next prime is 33480241. The reversal of 33480216 is 61208433.

It is a happy number.

It is a super-2 number, since 2×334802162 = 2241849726813312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 33480216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 548826 + ... + 548886.

It is an arithmetic number, because the mean of its divisors is an integer number (498883).

Almost surely, 233480216 is an apocalyptic number.

33480216 is a gapful number since it is divisible by the number (36) 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 33480216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59865960).

33480216 is an abundant number, since it is smaller than the sum of its proper divisors (86251704).

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

33480216 is a wasteful number, since it uses less digits than its factorization.

33480216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33480216 is about 5786.2091216962. The cubic root of 33480216 is about 322.3018144159.

Adding to 33480216 its reverse (61208433), we get a palindrome (94688649).

It can be divided in two parts, 33 and 480216, that added together give a square (480249 = 6932).

The spelling of 33480216 in words is "thirty-three million, four hundred eighty thousand, two hundred sixteen".