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2145825 = 335211172
BaseRepresentation
bin1000001011111000100001
311001000112000
420023320201
51022131300
6113554213
724145023
oct10137041
94030460
102145825
111236210
12875969
135a1926
143dc013
152c5c00
hex20be21

2145825 has 72 divisors (see below), whose sum is σ = 4568160. Its totient is φ = 979200.

The previous prime is 2145823. The next prime is 2145827. The reversal of 2145825 is 5285412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2145823) and next prime (2145827).

It is not a de Polignac number, because 2145825 - 21 = 2145823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3200) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (2145821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126217 + ... + 126233.

22145825 is an apocalyptic number.

2145825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2145825 is an abundant number, since it is smaller than the sum of its proper divisors (2422335).

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

2145825 is a wasteful number, since it uses less digits than its factorization.

2145825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2145825 is about 1464.8634748672. The cubic root of 2145825 is about 128.9826910254.

The spelling of 2145825 in words is "two million, one hundred forty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 27 33 45 51 55 75 85 99 135 153 165 187 225 255 275 289 297 425 459 495 561 675 765 825 867 935 1275 1445 1485 1683 2295 2475 2601 2805 3179 3825 4335 4675 5049 7225 7425 7803 8415 9537 11475 13005 14025 15895 21675 25245 28611 39015 42075 47685 65025 79475 85833 126225 143055 195075 238425 429165 715275 2145825