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228225024 = 2123241151
BaseRepresentation
bin11011001101001…
…11000000000000
3120220110000212200
431212213000000
5431411200044
634351353200
75440611036
oct1546470000
9526400780
10228225024
11107910925
1264522800
133838a3c1
142244c556
1515082369
hexd9a7000

228225024 has 156 divisors (see below), whose sum is σ = 679787472. Its totient is φ = 73728000.

The previous prime is 228225001. The next prime is 228225029. The reversal of 228225024 is 420522822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228225029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511349 + ... + 1511499.

It is an arithmetic number, because the mean of its divisors is an integer number (4357612).

Almost surely, 2228225024 is an apocalyptic number.

228225024 is a gapful number since it is divisible by the number (24) 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 228225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339893736).

228225024 is an abundant number, since it is smaller than the sum of its proper divisors (451562448).

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

228225024 is a wasteful number, since it uses less digits than its factorization.

228225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 228225024 is about 15107.1183221685. The cubic root of 228225024 is about 611.1123875039.

Adding to 228225024 its reverse (420522822), we get a palindrome (648747846).

The spelling of 228225024 in words is "two hundred twenty-eight million, two hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 151 164 192 246 256 288 302 328 369 384 453 492 512 576 604 656 738 768 906 984 1024 1152 1208 1312 1359 1476 1536 1812 1968 2048 2304 2416 2624 2718 2952 3072 3624 3936 4096 4608 4832 5248 5436 5904 6144 6191 7248 7872 9216 9664 10496 10872 11808 12288 12382 14496 15744 18432 18573 19328 20992 21744 23616 24764 28992 31488 36864 37146 38656 41984 43488 47232 49528 55719 57984 62976 74292 77312 83968 86976 94464 99056 111438 115968 125952 148584 154624 167936 173952 188928 198112 222876 231936 251904 297168 309248 347904 377856 396224 445752 463872 503808 594336 618496 695808 755712 792448 891504 927744 1188672 1391616 1511424 1584896 1783008 1855488 2377344 2783232 3169792 3566016 4754688 5566464 6339584 7132032 9509376 12679168 14264064 19018752 25358336 28528128 38037504 57056256 76075008 114112512 228225024