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228752820 = 223251270849
BaseRepresentation
bin11011010001001…
…11110110110100
3120221102211212200
431220213312310
5432030042240
634410544500
75445236562
oct1550476664
9527384780
10228752820
1110814141a
1264738130
13385136ca
1422548a32
1515138930
hexda27db4

228752820 has 36 divisors (see below), whose sum is σ = 693884100. Its totient is φ = 61000704.

The previous prime is 228752809. The next prime is 228752857. The reversal of 228752820 is 28257822.

It can be written as a sum of positive squares in 2 ways, for example, as 132987024 + 95765796 = 11532^2 + 9786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635245 + ... + 635604.

Almost surely, 2228752820 is an apocalyptic number.

228752820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228752820 is an abundant number, since it is smaller than the sum of its proper divisors (465131280).

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

228752820 is a wasteful number, since it uses less digits than its factorization.

228752820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270864 (or 1270859 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 228752820 is about 15124.5766882911. The cubic root of 228752820 is about 611.5831134980.

The spelling of 228752820 in words is "two hundred twenty-eight million, seven hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1270849 2541698 3812547 5083396 6354245 7625094 11437641 12708490 15250188 19062735 22875282 25416980 38125470 45750564 57188205 76250940 114376410 228752820