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33225023232 = 28346126267
BaseRepresentation
bin11110111100010111…
…011001111100000000
310011202111202001120000
4132330113121330000
51021021101220412
623132515320000
72254230015642
oct367427317400
9104674661500
1033225023232
11130aa728795
126532bb0000
13319658557b
1418728a8892
15ce6d1b4dc
hex7bc5d9f00

33225023232 has 180 divisors, whose sum is σ = 100698955896. Its totient is φ = 10893035520.

The previous prime is 33225023203. The next prime is 33225023239. The reversal of 33225023232 is 23232052233.

33225023232 is a `hidden beast` number, since 332 + 2 + 5 + 0 + 2 + 323 + 2 = 666.

It is a super-2 number, since 2×332250232322 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33225023196 and 33225023205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33225023239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1251763 + ... + 1278029.

Almost surely, 233225023232 is an apocalyptic number.

33225023232 is a gapful number since it is divisible by the number (32) 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 33225023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349477948).

33225023232 is an abundant number, since it is smaller than the sum of its proper divisors (67473932664).

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

33225023232 is an equidigital number, since it uses as much as digits as its factorization.

33225023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26356 (or 26333 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 33225023232 its reverse (23232052233), we get a palindrome (56457075465).

The spelling of 33225023232 in words is "thirty-three billion, two hundred twenty-five million, twenty-three thousand, two hundred thirty-two".