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228271680 = 26325713267
BaseRepresentation
bin11011001101100…
…10011001000000
3120220112101212200
431212302121000
5431414143210
634352353200
75441164050
oct1546623100
9526471780
10228271680
1110794298a
1264545800
13383a5700
1422461560
15150910c0
hexd9b2640

228271680 has 504 divisors, whose sum is σ = 986162112. Its totient is φ = 47443968.

The previous prime is 228271651. The next prime is 228271691. The reversal of 228271680 is 86172822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3407007 + ... + 3407073.

Almost surely, 2228271680 is an apocalyptic number.

228271680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493081056).

228271680 is an abundant number, since it is smaller than the sum of its proper divisors (757890432).

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

228271680 is a wasteful number, since it uses less digits than its factorization.

228271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 228271680 is about 15108.6624159785. The cubic root of 228271680 is about 611.1540278645.

The spelling of 228271680 in words is "two hundred twenty-eight million, two hundred seventy-one thousand, six hundred eighty".