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228235968 = 263444027
BaseRepresentation
bin11011001101010…
…01101011000000
3120220110120220000
431212221223000
5431412022333
634351520000
75440654662
oct1546515300
9526416800
10228235968
11107919074
1264529000
133839238c
1422452532
1515085713
hexd9a9ac0

228235968 has 70 divisors (see below), whose sum is σ = 676578276. Its totient is φ = 76076928.

The previous prime is 228235963. The next prime is 228235979. The reversal of 228235968 is 869532822.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (228235963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16830 + ... + 27197.

Almost surely, 2228235968 is an apocalyptic number.

It is an amenable number.

228235968 is an abundant number, since it is smaller than the sum of its proper divisors (448342308).

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

228235968 is an equidigital number, since it uses as much as digits as its factorization.

228235968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44051 (or 44032 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 228235968 is about 15107.4805311806. The cubic root of 228235968 is about 611.1221555053.

It can be divided in two parts, 228 and 235968, that added together give a square (236196 = 4862).

The spelling of 228235968 in words is "two hundred twenty-eight million, two hundred thirty-five thousand, nine hundred sixty-eight".

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 44027 88054 132081 176108 264162 352216 396243 528324 704432 792486 1056648 1188729 1408864 1584972 2113296 2377458 2817728 3169944 3566187 4226592 4754916 6339888 7132374 8453184 9509832 12679776 14264748 19019664 25359552 28529496 38039328 57058992 76078656 114117984 228235968