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228201688 = 231113434639
BaseRepresentation
bin11011001101000…
…01010011011000
3120220101211212101
431212201103120
5431404423223
634351053144
75440453021
oct1546412330
9526354771
10228201688
111078a5340
12645111b4
133837c8b0
1422443c48
151507a4ad
hexd9a14d8

228201688 has 64 divisors (see below), whose sum is σ = 514483200. Its totient is φ = 93502080.

The previous prime is 228201683. The next prime is 228201689. The reversal of 228201688 is 886102822.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228201683) 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, 46873 + ... + 51511.

It is an arithmetic number, because the mean of its divisors is an integer number (8038800).

Almost surely, 2228201688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228201688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257241600).

228201688 is an abundant number, since it is smaller than the sum of its proper divisors (286281512).

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

228201688 is a wasteful number, since it uses less digits than its factorization.

228201688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 228201688 is about 15106.3459512882. The cubic root of 228201688 is about 611.0915580545.

The spelling of 228201688 in words is "two hundred twenty-eight million, two hundred one thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 86 88 104 143 172 286 344 473 559 572 946 1118 1144 1892 2236 3784 4472 4639 6149 9278 12298 18556 24596 37112 49192 51029 60307 102058 120614 199477 204116 241228 398954 408232 482456 663377 797908 1326754 1595816 2194247 2593201 2653508 4388494 5186402 5307016 8776988 10372804 17553976 20745608 28525211 57050422 114100844 228201688