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33204000000 = 283562767
BaseRepresentation
bin11110111011000111…
…001101010100000000
310011201001011222002210
4132323013031110000
51021000211000000
623130444542120
72253553225503
oct367307152400
9104631158083
1033204000000
1113099879716
126527b51940
1331921044a2
14186db9513a
15ce5067350
hex7bb1cd500

33204000000 has 252 divisors, whose sum is σ = 110502335552. Its totient is φ = 8851200000.

The previous prime is 33203999989. The next prime is 33204000001. The reversal of 33204000000 is 40233.

It is a super-2 number, since 2×332040000002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 33204000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33204000001) 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 27 ways as a sum of consecutive naturals, for example, 11998617 + ... + 12001383.

Almost surely, 233204000000 is an apocalyptic number.

33204000000 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 33204000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55251167776).

33204000000 is an abundant number, since it is smaller than the sum of its proper divisors (77298335552).

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

33204000000 is an frugal number, since it uses more digits than its factorization.

33204000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 33204000000 its reverse (40233), we get a palindrome (33204040233).

The spelling of 33204000000 in words is "thirty-three billion, two hundred four million", and thus it is an aban number.