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33304001220 = 223257318271031
BaseRepresentation
bin11111000001000100…
…101011101011000100
310011222000100112222200
4133001010223223010
51021201311014340
623144420154500
72256206224320
oct370104535304
9104860315880
1033304001220
1113140271056
126555538a30
1331a9a486c9
14187d186980
15cedc1c330
hex7c112bac4

33304001220 has 288 divisors, whose sum is σ = 119438032896. Its totient is φ = 7350739200.

The previous prime is 33304001207. The next prime is 33304001239. The reversal of 33304001220 is 2210040333.

It is a super-2 number, since 2×333040012202 (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 junction number, because it is equal to n+sod(n) for n = 33304001193 and 33304001202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32302105 + ... + 32303135.

It is an arithmetic number, because the mean of its divisors is an integer number (414715392).

Almost surely, 233304001220 is an apocalyptic number.

33304001220 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 33304001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59719016448).

33304001220 is an abundant number, since it is smaller than the sum of its proper divisors (86134031676).

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

33304001220 is a wasteful number, since it uses less digits than its factorization.

33304001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33304001220 its reverse (2210040333), we get a palindrome (35514041553).

The spelling of 33304001220 in words is "thirty-three billion, three hundred four million, one thousand, two hundred twenty".