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228200448 = 212372379
BaseRepresentation
bin11011001101000…
…01000000000000
3120220101210011110
431212201000000
5431404403243
634351043320
75440446300
oct1546410000
9526353143
10228200448
111078a4413
1264510540
133837c168
1422443600
1515079e33
hexd9a1000

228200448 has 156 divisors (see below), whose sum is σ = 709668240. Its totient is φ = 65028096.

The previous prime is 228200447. The next prime is 228200473. The reversal of 228200448 is 844002822.

It is not an unprimeable number, because it can be changed into a prime (228200447) 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, 601923 + ... + 602301.

Almost surely, 2228200448 is an apocalyptic number.

228200448 is a gapful number since it is divisible by the number (28) 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 228200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354834120).

228200448 is an abundant number, since it is smaller than the sum of its proper divisors (481467792).

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

228200448 is an equidigital number, since it uses as much as digits as its factorization.

228200448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 228200448 is about 15106.3049088783. The cubic root of 228200448 is about 611.0904512048.

The spelling of 228200448 in words is "two hundred twenty-eight million, two hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 379 384 392 448 512 588 672 758 768 784 896 1024 1137 1176 1344 1516 1536 1568 1792 2048 2274 2352 2653 2688 3032 3072 3136 3584 4096 4548 4704 5306 5376 6064 6144 6272 7168 7959 9096 9408 10612 10752 12128 12288 12544 14336 15918 18192 18571 18816 21224 21504 24256 25088 28672 31836 36384 37142 37632 42448 43008 48512 50176 55713 63672 72768 74284 75264 84896 86016 97024 100352 111426 127344 145536 148568 150528 169792 194048 200704 222852 254688 291072 297136 301056 339584 388096 445704 509376 582144 594272 602112 679168 776192 891408 1018752 1164288 1188544 1358336 1552384 1782816 2037504 2328576 2377088 2716672 3565632 4075008 4657152 4754176 5433344 7131264 8150016 9508352 10866688 14262528 16300032 19016704 28525056 32600064 38033408 57050112 76066816 114100224 228200448