Search a number
-
+
2230725 = 35272607
BaseRepresentation
bin1000100000100111000101
311012022222110
420200213011
51032340400
6115451233
724650400
oct10404705
94168873
102230725
111293a82
128b6b19
13601473
14420d37
152e0e50
hex2209c5

2230725 has 36 divisors (see below), whose sum is σ = 4297344. Its totient is φ = 1018080.

The previous prime is 2230721. The next prime is 2230727. The reversal of 2230725 is 5270322.

It is not a de Polignac number, because 2230725 - 22 = 2230721 is a prime.

It is a super-3 number, since 3×22307253 = 33301159722936984375, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 24 + 28 + 33 + 0 + 76 + 221 + 56 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3372 + ... + 3978.

22230725 is an apocalyptic number.

2230725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2230725 is a deficient number, since it is larger than the sum of its proper divisors (2066619).

2230725 is a wasteful number, since it uses less digits than its factorization.

2230725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2230725 is about 1493.5611805346. The cubic root of 2230725 is about 130.6618124614.

The spelling of 2230725 in words is "two million, two hundred thirty thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 607 735 1225 1821 3035 3675 4249 9105 12747 15175 21245 29743 45525 63735 89229 106225 148715 318675 446145 743575 2230725