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2234120 = 235779101
BaseRepresentation
bin1000100001011100001000
311012111122012
420201130020
51032442440
6115515052
724663320
oct10413410
94174565
102234120
111296589
128b8a88
13602b85
14422280
152e1e65
hex221708

2234120 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 748800.

The previous prime is 2234119. The next prime is 2234129. The reversal of 2234120 is 214322.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2234095 and 2234104.

It is not an unprimeable number, because it can be changed into a prime (2234129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22070 + ... + 22170.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22234120 is an apocalyptic number.

2234120 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 2234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2234120 is an abundant number, since it is smaller than the sum of its proper divisors (3641080).

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

2234120 is a wasteful number, since it uses less digits than its factorization.

2234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2234120 is about 1494.6972937689. The cubic root of 2234120 is about 130.7280647639.

Adding to 2234120 its reverse (214322), we get a palindrome (2448442).

The spelling of 2234120 in words is "two million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 101 140 158 202 280 316 395 404 505 553 632 707 790 808 1010 1106 1414 1580 2020 2212 2765 2828 3160 3535 4040 4424 5530 5656 7070 7979 11060 14140 15958 22120 28280 31916 39895 55853 63832 79790 111706 159580 223412 279265 319160 446824 558530 1117060 2234120