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228463440 = 24354572083
BaseRepresentation
bin11011001111000…
…01001101010000
3120220220010220220
431213201031100
5431441312230
634400433040
75442623112
oct1547411520
9526803826
10228463440
11107a63a67
1264618780
1338441a8a
14224b13b2
15150ccd10
hexd9e1350

228463440 has 80 divisors (see below), whose sum is σ = 710127168. Its totient is φ = 60761088.

The previous prime is 228463423. The next prime is 228463441. The reversal of 228463440 is 44364822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228463441) 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 15 ways as a sum of consecutive naturals, for example, 108639 + ... + 110721.

Almost surely, 2228463440 is an apocalyptic number.

228463440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355063584).

228463440 is an abundant number, since it is smaller than the sum of its proper divisors (481663728).

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

228463440 is a wasteful number, since it uses less digits than its factorization.

228463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 228463440 is about 15115.0071121386. The cubic root of 228463440 is about 611.3251136150.

The spelling of 228463440 in words is "two hundred twenty-eight million, four hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 457 914 1371 1828 2083 2285 2742 3656 4166 4570 5484 6249 6855 7312 8332 9140 10415 10968 12498 13710 16664 18280 20830 21936 24996 27420 31245 33328 36560 41660 49992 54840 62490 83320 99984 109680 124980 166640 249960 499920 951931 1903862 2855793 3807724 4759655 5711586 7615448 9519310 11423172 14278965 15230896 19038620 22846344 28557930 38077240 45692688 57115860 76154480 114231720 228463440