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228650820 = 223523223743
BaseRepresentation
bin11011010000011…
…10111101000100
3120221020122221220
431220032331010
5432013311240
634404440340
75444333316
oct1550167504
9527218856
10228650820
11108081822
12646a90b0
13384a9158
142251d7b6
15151185d0
hexda0ef44

228650820 has 96 divisors (see below), whose sum is σ = 671956992. Its totient is φ = 57982848.

The previous prime is 228650803. The next prime is 228650827. The reversal of 228650820 is 28056822.

228650820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228650827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307369 + ... + 308111.

It is an arithmetic number, because the mean of its divisors is an integer number (6999552).

Almost surely, 2228650820 is an apocalyptic number.

228650820 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 228650820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335978496).

228650820 is an abundant number, since it is smaller than the sum of its proper divisors (443306172).

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

228650820 is a wasteful number, since it uses less digits than its factorization.

228650820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 228650820 is about 15121.2043171171. The cubic root of 228650820 is about 611.4921991335.

The spelling of 228650820 in words is "two hundred twenty-eight million, six hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 223 230 276 345 446 460 669 690 743 892 1115 1338 1380 1486 2229 2230 2676 2972 3345 3715 4458 4460 5129 6690 7430 8916 10258 11145 13380 14860 15387 17089 20516 22290 25645 30774 34178 44580 51267 51290 61548 68356 76935 85445 102534 102580 153870 165689 170890 205068 256335 307740 331378 341780 497067 512670 662756 828445 994134 1025340 1656890 1988268 2485335 3313780 3810847 4970670 7621694 9941340 11432541 15243388 19054235 22865082 38108470 45730164 57162705 76216940 114325410 228650820