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228225645 = 32537313597
BaseRepresentation
bin11011001101001…
…11001001101101
3120220110001201200
431212213021231
5431411210040
634351400113
75440612614
oct1546471155
9526401650
10228225645
1110791133a
1264523039
133838a77b
142244c87b
1515082630
hexd9a726d

228225645 has 24 divisors (see below), whose sum is σ = 396680856. Its totient is φ = 121385088.

The previous prime is 228225643. The next prime is 228225661. The reversal of 228225645 is 546522822.

228225645 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 2 + 5 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 225810729 = 1554^2 + 15027^2 .

It is not a de Polignac number, because 228225645 - 21 = 228225643 is a prime.

It is a super-3 number, since 3×2282256453 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228225643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9987 + ... + 23583.

It is an arithmetic number, because the mean of its divisors is an integer number (16528369).

Almost surely, 2228225645 is an apocalyptic number.

It is an amenable number.

228225645 is a deficient number, since it is larger than the sum of its proper divisors (168455211).

228225645 is a wasteful number, since it uses less digits than its factorization.

228225645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13981 (or 13978 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 228225645 is about 15107.1388753794. The cubic root of 228225645 is about 611.1129417821.

The spelling of 228225645 in words is "two hundred twenty-eight million, two hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 373 1119 1865 3357 5595 13597 16785 40791 67985 122373 203955 611865 5071681 15215043 25358405 45645129 76075215 228225645