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2212140 = 2235723229
BaseRepresentation
bin1000011100000100101100
311011101111010
420130010230
51031242030
6115225220
724542250
oct10340454
94141433
102212140
111281017
128a8210
135c5b78
14418260
152da6b0
hex21c12c

2212140 has 96 divisors (see below), whose sum is σ = 7418880. Its totient is φ = 481536.

The previous prime is 2212127. The next prime is 2212141. The reversal of 2212140 is 412122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2212141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9546 + ... + 9774.

It is an arithmetic number, because the mean of its divisors is an integer number (77280).

22212140 is an apocalyptic number.

2212140 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 2212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709440).

2212140 is an abundant number, since it is smaller than the sum of its proper divisors (5206740).

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

2212140 is a wasteful number, since it uses less digits than its factorization.

2212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2212140 is about 1487.3264604652. The cubic root of 2212140 is about 130.2979359935.

Adding to 2212140 its reverse (412122), we get a palindrome (2624262).

The spelling of 2212140 in words is "two million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 229 230 276 322 345 420 458 460 483 644 687 690 805 916 966 1145 1374 1380 1603 1610 1932 2290 2415 2748 3206 3220 3435 4580 4809 4830 5267 6412 6870 8015 9618 9660 10534 13740 15801 16030 19236 21068 24045 26335 31602 32060 36869 48090 52670 63204 73738 79005 96180 105340 110607 147476 158010 184345 221214 316020 368690 442428 553035 737380 1106070 2212140