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2102219196 = 2237114748407
BaseRepresentation
bin111110101001101…
…0101000110111100
312102111200210121020
41331103111012330
513301132003241
6544333504140
7103044365640
oct17523250674
95374623536
102102219196
11989714440
124a8042050
132766b6cac
1415d2a6c20
15c4854b66
hex7d4d51bc

2102219196 has 96 divisors (see below), whose sum is σ = 6245793792. Its totient is φ = 534402240.

The previous prime is 2102219183. The next prime is 2102219219. The reversal of 2102219196 is 6919122012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19225 + ... + 67631.

It is an arithmetic number, because the mean of its divisors is an integer number (65060352).

Almost surely, 22102219196 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 2102219196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122896896).

2102219196 is an abundant number, since it is smaller than the sum of its proper divisors (4143574596).

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

2102219196 is a wasteful number, since it uses less digits than its factorization.

2102219196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48479 (or 48477 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 2102219196 is about 45849.9639694515. The cubic root of 2102219196 is about 1281.0300944628.

The spelling of 2102219196 in words is "two billion, one hundred two million, two hundred nineteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 658 924 987 1034 1316 1551 1974 2068 3102 3619 3948 6204 7238 10857 14476 21714 43428 48407 96814 145221 193628 290442 338849 532477 580884 677698 1016547 1064954 1355396 1597431 2033094 2129908 2275129 3194862 3727339 4066188 4550258 6389724 6825387 7454678 9100516 11182017 13650774 14909356 15925903 22364034 25026419 27301548 31851806 44728068 47777709 50052838 63703612 75079257 95555418 100105676 150158514 175184933 191110836 300317028 350369866 525554799 700739732 1051109598 2102219196