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228430240 = 25510491361
BaseRepresentation
bin11011001110110…
…01000110100000
3120220211110101021
431213121012200
5431434231430
634400015224
75442424243
oct1547310640
9526743337
10228430240
11107a41025
1264601514
133842c92c
14224a325a
15150c307a
hexd9d91a0

228430240 has 48 divisors (see below), whose sum is σ = 540577800. Its totient is φ = 91217920.

The previous prime is 228430219. The next prime is 228430243. The reversal of 228430240 is 42034822.

It can be written as a sum of positive squares in 4 ways, for example, as 192765456 + 35664784 = 13884^2 + 5972^2 .

It is not an unprimeable number, because it can be changed into a prime (228430243) 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 7 ways as a sum of consecutive naturals, for example, 167160 + ... + 168520.

Almost surely, 2228430240 is an apocalyptic number.

228430240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228430240 is an abundant number, since it is smaller than the sum of its proper divisors (312147560).

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

228430240 is a wasteful number, since it uses less digits than its factorization.

228430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 228430240 is about 15113.9088259788. The cubic root of 228430240 is about 611.2954998659.

The spelling of 228430240 in words is "two hundred twenty-eight million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1049 1361 2098 2722 4196 5245 5444 6805 8392 10490 10888 13610 16784 20980 21776 27220 33568 41960 43552 54440 83920 108880 167840 217760 1427689 2855378 5710756 7138445 11421512 14276890 22843024 28553780 45686048 57107560 114215120 228430240