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228145680 = 24335779191
BaseRepresentation
bin11011001100100…
…11101000010000
3120220022000001000
431212103220100
5431401130210
634345542000
75440130520
oct1546235020
9526260030
10228145680
11107867254
12644a4900
1338360259
142242b680
1515068ac0
hexd993a10

228145680 has 320 divisors, whose sum is σ = 914227200. Its totient is φ = 51217920.

The previous prime is 228145679. The next prime is 228145691. The reversal of 228145680 is 86541822.

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 63 ways as a sum of consecutive naturals, for example, 1194385 + ... + 1194575.

It is an arithmetic number, because the mean of its divisors is an integer number (2856960).

Almost surely, 2228145680 is an apocalyptic number.

228145680 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 228145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457113600).

228145680 is an abundant number, since it is smaller than the sum of its proper divisors (686081520).

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

228145680 is a wasteful number, since it uses less digits than its factorization.

228145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 228145680 is about 15104.4920470700. The cubic root of 228145680 is about 611.0415601532.

It can be divided in two parts, 2281 and 45680, that added together give a square (47961 = 2192).

The spelling of 228145680 in words is "two hundred twenty-eight million, one hundred forty-five thousand, six hundred eighty".