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228400371 = 3337972357
BaseRepresentation
bin11011001110100…
…01110011110011
3120220202221102000
431213101303303
5431432302441
634355225043
75442241203
oct1547216363
9526687360
10228400371
11107a20641
12645a8183
133841c164
1422496403
15150b92b6
hexd9d1cf3

228400371 has 32 divisors (see below), whose sum is σ = 351247680. Its totient is φ = 146562048.

The previous prime is 228400351. The next prime is 228400411. The reversal of 228400371 is 173004822.

228400371 is a `hidden beast` number, since 228 + 400 + 37 + 1 = 666.

It is not a de Polignac number, because 228400371 - 25 = 228400339 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (228400331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95725 + ... + 98081.

It is an arithmetic number, because the mean of its divisors is an integer number (10976490).

Almost surely, 2228400371 is an apocalyptic number.

228400371 is a deficient number, since it is larger than the sum of its proper divisors (122847309).

228400371 is a wasteful number, since it uses less digits than its factorization.

228400371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 228400371 is about 15112.9206641205. The cubic root of 228400371 is about 611.2688548514.

The spelling of 228400371 in words is "two hundred twenty-eight million, four hundred thousand, three hundred seventy-one".

Divisors: 1 3 9 27 37 97 111 291 333 873 999 2357 2619 3589 7071 10767 21213 32301 63639 87209 96903 228629 261627 685887 784881 2057661 2354643 6172983 8459273 25377819 76133457 228400371