Search a number
-
+
228115872 = 2533833181
BaseRepresentation
bin11011001100011…
…00010110100000
3120220020111011000
431212030112200
5431344201442
634345152000
75436644565
oct1546142640
9526214130
10228115872
11107846916
126448b600
133834c80a
142242086c
151505ed4c
hexd98c5a0

228115872 has 96 divisors (see below), whose sum is σ = 673565760. Its totient is φ = 75098880.

The previous prime is 228115847. The next prime is 228115883. The reversal of 228115872 is 278511822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70122 + ... + 73302.

It is an arithmetic number, because the mean of its divisors is an integer number (7016310).

Almost surely, 2228115872 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 228115872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336782880).

228115872 is an abundant number, since it is smaller than the sum of its proper divisors (445449888).

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

228115872 is a wasteful number, since it uses less digits than its factorization.

228115872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3269 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 228115872 is about 15103.5052885084. The cubic root of 228115872 is about 611.0149474496.

The spelling of 228115872 in words is "two hundred twenty-eight million, one hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3181 3984 4482 5976 6362 7968 8964 9543 11952 12724 17928 19086 23904 25448 28629 35856 38172 50896 57258 71712 76344 85887 101792 114516 152688 171774 229032 264023 305376 343548 458064 528046 687096 792069 916128 1056092 1374192 1584138 2112184 2376207 2748384 3168276 4224368 4752414 6336552 7128621 8448736 9504828 12673104 14257242 19009656 25346208 28514484 38019312 57028968 76038624 114057936 228115872