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228180820 = 22573075309
BaseRepresentation
bin11011001100111…
…00001101010100
3120220100210020111
431212130031110
5431403241240
634350412404
75440335130
oct1546341524
9526323214
10228180820
1110789069a
1264501104
133837324a
142243a3c0
15150741ea
hexd99c354

228180820 has 48 divisors (see below), whose sum is σ = 549521280. Its totient is φ = 77963904.

The previous prime is 228180803. The next prime is 228180839. The reversal of 228180820 is 28081822.

228180820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40326 + ... + 45634.

It is an arithmetic number, because the mean of its divisors is an integer number (11448360).

Almost surely, 2228180820 is an apocalyptic number.

228180820 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 228180820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274760640).

228180820 is an abundant number, since it is smaller than the sum of its proper divisors (321340460).

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

228180820 is a wasteful number, since it uses less digits than its factorization.

228180820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 228180820 is about 15105.6552323956. The cubic root of 228180820 is about 611.0729303113.

The spelling of 228180820 in words is "two hundred twenty-eight million, one hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 307 614 1228 1535 2149 3070 4298 5309 6140 8596 10618 10745 21236 21490 26545 37163 42980 53090 74326 106180 148652 185815 371630 743260 1629863 3259726 6519452 8149315 11409041 16298630 22818082 32597260 45636164 57045205 114090410 228180820