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228291120 = 24325317071
BaseRepresentation
bin11011001101101…
…11001000110000
3120220120101112200
431212313020300
5431420303440
634353023200
75441304531
oct1546671060
9526511480
10228291120
11107956552
1264554b00
13383b1505
1422468688
1515096c30
hexd9b7230

228291120 has 60 divisors (see below), whose sum is σ = 766680096. Its totient is φ = 60877440.

The previous prime is 228291071. The next prime is 228291143. The reversal of 228291120 is 21192822.

228291120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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, 157816 + ... + 159255.

Almost surely, 2228291120 is an apocalyptic number.

228291120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228291120 is an abundant number, since it is smaller than the sum of its proper divisors (538388976).

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

228291120 is a wasteful number, since it uses less digits than its factorization.

228291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317090 (or 317081 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 228291120 is about 15109.3057418268. The cubic root of 228291120 is about 611.1713763401.

The spelling of 228291120 in words is "two hundred twenty-eight million, two hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 317071 634142 951213 1268284 1585355 1902426 2536568 2853639 3170710 3804852 4756065 5073136 5707278 6341420 7609704 9512130 11414556 12682840 14268195 15219408 19024260 22829112 25365680 28536390 38048520 45658224 57072780 76097040 114145560 228291120