Search a number
-
+
228733632 = 263444123
BaseRepresentation
bin11011010001000…
…11001011000000
3120221101212120000
431220203023000
5432023434012
634410320000
75445126621
oct1550431300
9527355500
10228733632
11108128a66
1264729000
1338507a5a
1422541a48
1515132ddc
hexda232c0

228733632 has 70 divisors (see below), whose sum is σ = 678053508. Its totient is φ = 76242816.

The previous prime is 228733627. The next prime is 228733679. The reversal of 228733632 is 236337822.

It is a happy number.

228733632 is a `hidden beast` number, since 228 + 73 + 363 + 2 = 666.

228733632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2287336322 = 104638148815822848, which contains 22 as substring.

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

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 9 ways as a sum of consecutive naturals, for example, 16878 + ... + 27245.

Almost surely, 2228733632 is an apocalyptic number.

It is an amenable number.

228733632 is an abundant number, since it is smaller than the sum of its proper divisors (449319876).

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

228733632 is an equidigital number, since it uses as much as digits as its factorization.

228733632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44147 (or 44128 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 228733632 is about 15123.9423431855. The cubic root of 228733632 is about 611.5660129658.

The spelling of 228733632 in words is "two hundred twenty-eight million, seven hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 44123 88246 132369 176492 264738 352984 397107 529476 705968 794214 1058952 1191321 1411936 1588428 2117904 2382642 2823872 3176856 3573963 4235808 4765284 6353712 7147926 8471616 9530568 12707424 14295852 19061136 25414848 28591704 38122272 57183408 76244544 114366816 228733632