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2196180 = 223357283
BaseRepresentation
bin1000011000001011010100
311010120121000
420120023110
51030234210
6115023300
724444600
oct10301324
94116530
102196180
111270028
1289ab30
135bb81c
14412500
152d5ac0
hex2182d4

2196180 has 144 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 495936.

The previous prime is 2196167. The next prime is 2196197. The reversal of 2196180 is 816912.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26419 + ... + 26501.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

22196180 is an apocalyptic number.

2196180 is a gapful number since it is divisible by the number (20) 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 2196180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2196180 is an abundant number, since it is smaller than the sum of its proper divisors (5847660).

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

2196180 is a wasteful number, since it uses less digits than its factorization.

2196180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2196180 is about 1481.9514162077. The cubic root of 2196180 is about 129.9838244174.

The spelling of 2196180 in words is "two million, one hundred ninety-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 83 84 90 98 105 108 126 135 140 147 166 180 189 196 210 245 249 252 270 294 315 332 378 415 420 441 490 498 540 581 588 630 735 747 756 830 882 945 980 996 1162 1245 1260 1323 1470 1494 1660 1743 1764 1890 2205 2241 2324 2490 2646 2905 2940 2988 3486 3735 3780 4067 4410 4482 4980 5229 5292 5810 6615 6972 7470 8134 8715 8820 8964 10458 11205 11620 12201 13230 14940 15687 16268 17430 20335 20916 22410 24402 26145 26460 31374 34860 36603 40670 44820 48804 52290 61005 62748 73206 78435 81340 104580 109809 122010 146412 156870 183015 219618 244020 313740 366030 439236 549045 732060 1098090 2196180