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2082190032 = 2432134325867
BaseRepresentation
bin111110000011011…
…1011001011010000
312101010000012202100
41330012323023100
513231020040112
6542340320400
7102412215606
oct17406731320
95333005670
102082190032
1197938420a
124a13a3100
132724c3510
1415a771876
15c2bea2dc
hex7c1bb2d0

2082190032 has 120 divisors (see below), whose sum is σ = 6421679264. Its totient is φ = 625750272.

The previous prime is 2082190027. The next prime is 2082190079. The reversal of 2082190032 is 2300912802.

It is a happy number.

It is a super-2 number, since 2×20821900322 = 8671030658720322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2082189978 and 2082190005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67563 + ... + 93429.

Almost surely, 22082190032 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 2082190032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210839632).

2082190032 is an abundant number, since it is smaller than the sum of its proper divisors (4339489232).

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

2082190032 is a wasteful number, since it uses less digits than its factorization.

2082190032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25937 (or 25928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2082190032 is about 45631.0205014089. The cubic root of 2082190032 is about 1276.9487118793.

The spelling of 2082190032 in words is "two billion, eighty-two million, one hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1677 1872 2064 2236 3096 3354 4472 5031 6192 6708 8944 10062 13416 20124 25867 26832 40248 51734 77601 80496 103468 155202 206936 232803 310404 336271 413872 465606 620808 672542 931212 1008813 1112281 1241616 1345084 1862424 2017626 2224562 2690168 3026439 3336843 3724848 4035252 4449124 5380336 6052878 6673686 8070504 8898248 10010529 12105756 13347372 14459653 16141008 17796496 20021058 24211512 26694744 28919306 40042116 43378959 48423024 53389488 57838612 80084232 86757918 115677224 130136877 160168464 173515836 231354448 260273754 347031672 520547508 694063344 1041095016 2082190032