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2196860512 = 257211211579
BaseRepresentation
bin1000001011110001…
…0110111001100000
312200002210002002011
42002330112321200
513444344014022
61001554202304
7105304002100
oct20274267140
95602702064
102196860512
11a28085900
12513883394
132901a2682
1416baa1200
15ccceb977
hex82f16e60

2196860512 has 108 divisors (see below), whose sum is σ = 5530642740. Its totient is φ = 855845760.

The previous prime is 2196860509. The next prime is 2196860543. The reversal of 2196860512 is 2150686912.

It is a super-2 number, since 2×21968605122 = 9652392218369804288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 183939 + ... + 195517.

It is an arithmetic number, because the mean of its divisors is an integer number (51209655).

Almost surely, 22196860512 is an apocalyptic number.

2196860512 is a gapful number since it is divisible by the number (22) 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 2196860512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765321370).

2196860512 is an abundant number, since it is smaller than the sum of its proper divisors (3333782228).

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

2196860512 is a wasteful number, since it uses less digits than its factorization.

2196860512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11625 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 2196860512 is about 46870.6785954716. The cubic root of 2196860512 is about 1299.9724869917.

The spelling of 2196860512 in words is "two billion, one hundred ninety-six million, eight hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 121 154 176 196 224 242 308 352 392 484 539 616 784 847 968 1078 1232 1568 1694 1936 2156 2464 3388 3872 4312 5929 6776 8624 11579 11858 13552 17248 23158 23716 27104 46316 47432 81053 92632 94864 127369 162106 185264 189728 254738 324212 370528 509476 567371 648424 891583 1018952 1134742 1296848 1401059 1783166 2037904 2269484 2593696 2802118 3566332 4075808 4538968 5604236 6241081 7132664 9077936 9807413 11208472 12482162 14265328 18155872 19614826 22416944 24964324 28530656 39229652 44833888 49928648 68651891 78459304 99857296 137303782 156918608 199714592 274607564 313837216 549215128 1098430256 2196860512