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33250164 = 22317389419
BaseRepresentation
bin111111011010…
…1101101110100
32022120021122120
41332311231310
532003001124
63144355540
7552423153
oct176655564
968507576
1033250164
1117850382
12b175bb0
136b7246c
1445b759a
152dbbd79
hex1fb5b74

33250164 has 48 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 10379776.

The previous prime is 33250141. The next prime is 33250169. The reversal of 33250164 is 46105233.

It is a happy number.

It is a super-2 number, since 2×332501642 = 2211146812053792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33250169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79147 + ... + 79565.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 233250164 is an apocalyptic number.

33250164 is a gapful number since it is divisible by the number (34) 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 33250164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

33250164 is an abundant number, since it is smaller than the sum of its proper divisors (49305036).

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

33250164 is a wasteful number, since it uses less digits than its factorization.

33250164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 33250164 is about 5766.2955179214. The cubic root of 33250164 is about 321.5619082505.

Adding to 33250164 its reverse (46105233), we get a palindrome (79355397).

The spelling of 33250164 in words is "thirty-three million, two hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 389 419 778 838 1167 1257 1556 1676 2334 2514 4668 5028 6613 7123 13226 14246 19839 21369 26452 28492 39678 42738 79356 85476 162991 325982 488973 651964 977946 1955892 2770847 5541694 8312541 11083388 16625082 33250164