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228000312 = 23337114867
BaseRepresentation
bin11011001011100…
…00001000111000
3120220000121122000
431211300020320
5431332002222
634342501000
75435653641
oct1545601070
9526017560
10228000312
11107778011
1264434760
133830c037
14223d06c8
151503a9ac
hexd970238

228000312 has 64 divisors (see below), whose sum is σ = 642297600. Its totient is φ = 74924640.

The previous prime is 228000307. The next prime is 228000341. The reversal of 228000312 is 213000822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7903 + ... + 22769.

It is an arithmetic number, because the mean of its divisors is an integer number (10035900).

Almost surely, 2228000312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321148800).

228000312 is an abundant number, since it is smaller than the sum of its proper divisors (414297288).

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

228000312 is a wasteful number, since it uses less digits than its factorization.

228000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14953 (or 14943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 228000312 is about 15099.6792018904. The cubic root of 228000312 is about 610.9117530902.

The spelling of 228000312 in words is "two hundred twenty-eight million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 14867 15336 29734 44601 59468 89202 118936 133803 178404 267606 356808 401409 535212 802818 1055557 1070424 1605636 2111114 3166671 3211272 4222228 6333342 8444456 9500013 12666684 19000026 25333368 28500039 38000052 57000078 76000104 114000156 228000312