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2228325 = 352113773
BaseRepresentation
bin1000100000000001100101
311012012200120
420200001211
51032301300
6115432153
724640401
oct10400145
94165616
102228325
1112921a0
128b5659
13600348
14420101
152e03a0
hex220065

2228325 has 48 divisors (see below), whose sum is σ = 4184256. Its totient is φ = 1036800.

The previous prime is 2228323. The next prime is 2228329. The reversal of 2228325 is 5238222.

It is not a de Polignac number, because 2228325 - 21 = 2228323 is a prime.

It is a Curzon number.

2228325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2228295 and 2228304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30489 + ... + 30561.

It is an arithmetic number, because the mean of its divisors is an integer number (87172).

22228325 is an apocalyptic number.

2228325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2228325 is a deficient number, since it is larger than the sum of its proper divisors (1955931).

2228325 is a wasteful number, since it uses less digits than its factorization.

2228325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2228325 is about 1492.7575154726. The cubic root of 2228325 is about 130.6149366880.

The spelling of 2228325 in words is "two million, two hundred twenty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 37 55 73 75 111 165 185 219 275 365 407 555 803 825 925 1095 1221 1825 2035 2409 2701 2775 4015 5475 6105 8103 10175 12045 13505 20075 29711 30525 40515 60225 67525 89133 148555 202575 445665 742775 2228325