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2145150 = 233527227
BaseRepresentation
bin1000001011101101111110
311000222121000
420023231332
51022121100
6113551130
724143040
oct10135576
94028530
102145150
111235757
128754a6
135a1527
143dba90
152c5900
hex20bb7e

2145150 has 96 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 488160.

The previous prime is 2145137. The next prime is 2145151. The reversal of 2145150 is 515412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9337 + ... + 9563.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

22145150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2145150 is an abundant number, since it is smaller than the sum of its proper divisors (4640130).

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

2145150 is a wasteful number, since it uses less digits than its factorization.

2145150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2145150 is about 1464.6330598481. The cubic root of 2145150 is about 128.9691651558.

The spelling of 2145150 in words is "two million, one hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 227 270 315 350 378 450 454 525 630 675 681 945 1050 1135 1350 1362 1575 1589 1890 2043 2270 3150 3178 3405 4086 4725 4767 5675 6129 6810 7945 9450 9534 10215 11350 12258 14301 15890 17025 20430 23835 28602 30645 34050 39725 42903 47670 51075 61290 71505 79450 85806 102150 119175 143010 153225 214515 238350 306450 357525 429030 715050 1072575 2145150