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2190312 = 2332291049
BaseRepresentation
bin1000010110101111101000
311010021112200
420112233220
51030042222
6114540200
724421515
oct10265750
94107480
102190312
111266683
12897660
135b8c57
1441030c
152d3eac
hex216be8

2190312 has 48 divisors (see below), whose sum is σ = 6142500. Its totient is φ = 704256.

The previous prime is 2190311. The next prime is 2190317. The reversal of 2190312 is 2130912.

It is a happy number.

2190312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2056356 + 133956 = 1434^2 + 366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2190311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1564 + ... + 2612.

22190312 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 2190312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071250).

2190312 is an abundant number, since it is smaller than the sum of its proper divisors (3952188).

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

2190312 is a wasteful number, since it uses less digits than its factorization.

2190312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2190312 is about 1479.9702699717. The cubic root of 2190312 is about 129.8679527036.

The spelling of 2190312 in words is "two million, one hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1049 2088 2098 3147 4196 6294 8392 9441 12588 18882 25176 30421 37764 60842 75528 91263 121684 182526 243368 273789 365052 547578 730104 1095156 2190312