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2212120 = 235291907
BaseRepresentation
bin1000011100000100011000
311011101110101
420130010120
51031241440
6115225144
724542221
oct10340430
94141411
102212120
111280aa9
128a81b4
135c5b61
14418248
152da69a
hex21c118

2212120 has 32 divisors (see below), whose sum is σ = 5151600. Its totient is φ = 853888.

The previous prime is 2212099. The next prime is 2212123. The reversal of 2212120 is 212122.

2212120 = T376 + T377 + ... + T404.

2212120 = 3772 + 3782 + ... + 3912.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2212097 and 2212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212123) 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 7 ways as a sum of consecutive naturals, for example, 207 + ... + 2113.

22212120 is an apocalyptic number.

2212120 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 2212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575800).

2212120 is an abundant number, since it is smaller than the sum of its proper divisors (2939480).

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

2212120 is a wasteful number, since it uses less digits than its factorization.

2212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2212120 is about 1487.3197369766. The cubic root of 2212120 is about 130.2975433169.

Adding to 2212120 its reverse (212122), we get a palindrome (2424242).

It can be divided in two parts, 2212 and 120, that added together give a palindrome (2332).

The spelling of 2212120 in words is "two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1907 3814 7628 9535 15256 19070 38140 55303 76280 110606 221212 276515 442424 553030 1106060 2212120