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3200550012 = 22321128328559
BaseRepresentation
bin1011111011000100…
…1000010001111100
322021001101210020100
42332301020101330
523023320100022
61245330521100
7142212140412
oct27661102174
98231353210
103200550012
1113a2699660
12753a36190
133c0101c9a
142250cd2b2
1513aeab1ac
hexbec4847c

3200550012 has 72 divisors (see below), whose sum is σ = 8857255680. Its totient is φ = 966402720.

The previous prime is 3200550011. The next prime is 3200550037. The reversal of 3200550012 is 2100550023.

It is a happy number.

3200550012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3200550011) 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, 97789 + ... + 126347.

It is an arithmetic number, because the mean of its divisors is an integer number (123017440).

Almost surely, 23200550012 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 3200550012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428627840).

3200550012 is an abundant number, since it is smaller than the sum of its proper divisors (5656705668).

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

3200550012 is a wasteful number, since it uses less digits than its factorization.

3200550012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28863 (or 28858 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3200550012 is about 56573.4037512328. The cubic root of 3200550012 is about 1473.6970221834.

The spelling of 3200550012 in words is "three billion, two hundred million, five hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 283 396 566 849 1132 1698 2547 3113 3396 5094 6226 9339 10188 12452 18678 28017 28559 37356 56034 57118 85677 112068 114236 171354 257031 314149 342708 514062 628298 942447 1028124 1256596 1884894 2827341 3769788 5654682 8082197 11309364 16164394 24246591 32328788 48493182 72739773 88904167 96986364 145479546 177808334 266712501 290959092 355616668 533425002 800137503 1066850004 1600275006 3200550012