Search a number
-
+
228662688 = 25323103561
BaseRepresentation
bin11011010000100…
…01110110100000
3120221021021020110
431220101312200
5432014201223
634405011320
75444413032
oct1550216640
9527237213
10228662688
1110808a731
12646b3b40
13384b1687
1422523c52
151511bd93
hexda11da0

228662688 has 48 divisors (see below), whose sum is σ = 626342976. Its totient is φ = 72906240.

The previous prime is 228662677. The next prime is 228662689. The reversal of 228662688 is 886266822.

228662688 is digitally balanced in base 3, because in such base 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228662689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49573 + ... + 53988.

It is an arithmetic number, because the mean of its divisors is an integer number (13048812).

Almost surely, 2228662688 is an apocalyptic number.

It is an amenable number.

228662688 is an abundant number, since it is smaller than the sum of its proper divisors (397680288).

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

228662688 is a wasteful number, since it uses less digits than its factorization.

228662688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103597 (or 103589 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 228662688 is about 15121.5967410852. The cubic root of 228662688 is about 611.5027786770.

The spelling of 228662688 in words is "two hundred twenty-eight million, six hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 103561 207122 310683 414244 621366 828488 1242732 1656976 2381903 2485464 3313952 4763806 4970928 7145709 9527612 9941856 14291418 19055224 28582836 38110448 57165672 76220896 114331344 228662688