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228508160 = 29589261
BaseRepresentation
bin11011001111011…
…00001000000000
3120220222102021012
431213230020000
5431444230120
634401420052
75443200356
oct1547541000
9526872235
10228508160
11107a94621
126463a628
133845923a
14224c37d6
15150db1c5
hexd9ec200

228508160 has 40 divisors (see below), whose sum is σ = 547890156. Its totient is φ = 91402240.

The previous prime is 228508153. The next prime is 228508207. The reversal of 228508160 is 61805822.

It can be written as a sum of positive squares in 2 ways, for example, as 224760064 + 3748096 = 14992^2 + 1936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42071 + ... + 47190.

Almost surely, 2228508160 is an apocalyptic number.

228508160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228508160 is an abundant number, since it is smaller than the sum of its proper divisors (319381996).

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

228508160 is an frugal number, since it uses more digits than its factorization.

228508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89284 (or 89268 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 228508160 is about 15116.4863642316. The cubic root of 228508160 is about 611.3649984437.

The spelling of 228508160 in words is "two hundred twenty-eight million, five hundred eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 89261 178522 357044 446305 714088 892610 1428176 1785220 2856352 3570440 5712704 7140880 11425408 14281760 22850816 28563520 45701632 57127040 114254080 228508160