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2033430012 = 2232539710987
BaseRepresentation
bin111100100110011…
…1010110111111100
312020201020221120200
41321030322313330
513131024230022
6533435243500
7101250604245
oct17114726774
95221227520
102033430012
11953900079
12488ba9590
13265380633
141540bbccc
15bd7b7bac
hex7933adfc

2033430012 has 72 divisors (see below), whose sum is σ = 5291513136. Its totient is φ = 658105344.

The previous prime is 2033429987. The next prime is 2033430013. The reversal of 2033430012 is 2100343302.

2033430012 is a `hidden beast` number, since 20 + 334 + 300 + 12 = 666.

It is a super-2 number, since 2×20334300122 = 8269675227404640288, which 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 not an unprimeable number, because it can be changed into a prime (2033430013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179583 + ... + 190569.

It is an arithmetic number, because the mean of its divisors is an integer number (73493238).

Almost surely, 22033430012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645756568).

2033430012 is an abundant number, since it is smaller than the sum of its proper divisors (3258083124).

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

2033430012 is a wasteful number, since it uses less digits than its factorization.

2033430012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11147 (or 11142 counting only the distinct ones).

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

The square root of 2033430012 is about 45093.5695193893. The cubic root of 2033430012 is about 1266.9021593858.

Adding to 2033430012 its reverse (2100343302), we get a palindrome (4133773314).

The spelling of 2033430012 in words is "two billion, thirty-three million, four hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 636 873 954 1164 1746 1908 3492 5141 10282 10987 15423 20564 21974 30846 32961 43948 46269 61692 65922 92538 98883 131844 185076 197766 395532 582311 1065739 1164622 1746933 2131478 2329244 3197217 3493866 4262956 5240799 6394434 6987732 9591651 10481598 12788868 19183302 20963196 38366604 56484167 112968334 169452501 225936668 338905002 508357503 677810004 1016715006 2033430012