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228144720 = 24356411483
BaseRepresentation
bin11011001100100…
…11011001010000
3120220021221201110
431212103121100
5431401112340
634345533320
75440124646
oct1546233120
9526257643
10228144720
11107866561
12644a4240
133835c99b
142242b196
1515068680
hexd993650

228144720 has 80 divisors (see below), whose sum is σ = 708829632. Its totient is φ = 60702720.

The previous prime is 228144703. The next prime is 228144727. The reversal of 228144720 is 27441822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228144727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153099 + ... + 154581.

Almost surely, 2228144720 is an apocalyptic number.

228144720 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 228144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354414816).

228144720 is an abundant number, since it is smaller than the sum of its proper divisors (480684912).

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

228144720 is a wasteful number, since it uses less digits than its factorization.

228144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 228144720 is about 15104.4602684108. The cubic root of 228144720 is about 611.0407030974.

The spelling of 228144720 in words is "two hundred twenty-eight million, one hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 641 1282 1483 1923 2564 2966 3205 3846 4449 5128 5932 6410 7415 7692 8898 9615 10256 11864 12820 14830 15384 17796 19230 22245 23728 25640 29660 30768 35592 38460 44490 51280 59320 71184 76920 88980 118640 153840 177960 355920 950603 1901206 2851809 3802412 4753015 5703618 7604824 9506030 11407236 14259045 15209648 19012060 22814472 28518090 38024120 45628944 57036180 76048240 114072360 228144720