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33220530000 = 2437547231
BaseRepresentation
bin11110111100000110…
…010000111101010000
310011202012021210000000
4132330012100331100
51021013423430000
623132235130000
72254143563100
oct367406207520
9104665253000
1033220530000
11130a8139979
1265315a3900
133195671358
141872059200
15ce6730000
hex7bc190f50

33220530000 has 1200 divisors, whose sum is σ = 144847633920. Its totient is φ = 7348320000.

The previous prime is 33220529999. The next prime is 33220530011. The reversal of 33220530000 is 3502233.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×332205300002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1071629985 + ... + 1071630015.

Almost surely, 233220530000 is an apocalyptic number.

33220530000 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 33220530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72423816960).

33220530000 is an abundant number, since it is smaller than the sum of its proper divisors (111627103920).

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

33220530000 is an frugal number, since it uses more digits than its factorization.

33220530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The spelling of 33220530000 in words is "thirty-three billion, two hundred twenty million, five hundred thirty thousand".